Definition: In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
Input: [105.312, -22.782, 173.409, -41.622, 211.938, 157.511, 112.811, 9.967, 129.68, 107.73]

[ 0.112 -0.024  0.184 -0.044  0.225  0.167  0.12   0.011  0.137  0.114]