7. (10 points) Xiao Ming, Xiao Hua, and Xiao Gang are dividing 363 cards according to their age ratio. If Xiao Ming takes 7 cards, Xiao Hua should take 6 cards; if Xiao Gang takes 8 cards, Xiao Ming should take 5 cards. In the end, Xiao Ming took $\qquad$ cards; Xiao Hua took $\qquad$ cards; Xiao Gang took $\qquad$ cards.
【Analysis】According to the problem, the ratio of the number of cards Xiao Ming has to the number of cards Xiao Hua has is $7: 6$, and the ratio of the number of cards Xiao Ming has to the number of cards Xiao Gang has is $5: 8$. Therefore, we can write these two ratios as a continuous ratio, which is the number of cards Xiao Ming has: the number of cards Xiao Hua has: the number of cards Xiao Gang has $=(7 \times 5):(6 \times 5):(8 \times 7)=35: 30: 56$; Given that "Xiao Ming, Xiao Hua, and Xiao Gang divide 363 cards," the total to be distributed is 363, and it is distributed according to the ratio of 35: $30: 56$, so we can solve it using the method of proportional distribution.

【Solution】Solution: The ratio of the number of cards Xiao Ming has: the number of cards Xiao Hua has: the number of cards Xiao Gang has is: $(7 \times 5):(6 \times 5):(8 \times 7)=35$ : 30: 56,

The number of cards Xiao Ming gets: $363 \times \frac{35}{35+30+56}=105$ (cards), the number of cards Xiao Hua gets: $363 \times \frac{30}{35+30+56}=90$ (cards), the number of cards Xiao Gang gets: $363 \times \frac{56}{35+30+56}=168$ (cards). Answer: Xiao Ming got 105 cards; Xiao Hua got 90 cards; Xiao Gang got 168 cards. Therefore, the answers are: $105,90,168$.