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.

[160.967, 85.563, 134.3, 3.295, 180.919, 146.018, -14.031, 71.046, -18.504, 196.534]

[ 0.17   0.09   0.142  0.003  0.191  0.154 -0.015  0.075 -0.02   0.208]