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: [172.533, 236.834, -67.064, 144.821, 4.825, -4.188, -44.813, 17.841, 164.277]

Solution: [ 0.276  0.379 -0.107  0.232  0.008 -0.007 -0.072  0.029  0.263]