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.
Example: [1, 2, 3]
Example solution: [0.167, 0.333, 0.500]
Example explanation: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

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

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