Given the task definition and input, reply with output. 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.

[117.401, 169.933, 188.177, 29.062, -31.547, 42.568, 28.77, 247.679, -65.943, 193.023]

[ 0.128  0.185  0.205  0.032 -0.034  0.046  0.031  0.269 -0.072  0.21 ]