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.

[135.557, 240.763, 210.623, 96.53, 205.226, 24.699, 139.765, -31.837, -32.624, 118.422]
[ 0.122  0.217  0.19   0.087  0.185  0.022  0.126 -0.029 -0.029  0.107]