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

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