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: [169.776, 238.58, -86.145, -26.179, 17.923, 14.69, 76.686, 179.243, 243.986, 1.563]

Solution: [ 0.205  0.287 -0.104 -0.032  0.022  0.018  0.092  0.216  0.294  0.002]