You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
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.

[1, 2, 3]
Solution: [0.167, 0.333, 0.500]
Why? 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.

New input: [109.9, 12.161, -42.126, 162.122, 225.845, -34.311, -43.169, 239.57, 69.848, -54.175]
Solution:
[ 0.17   0.019 -0.065  0.251  0.35  -0.053 -0.067  0.371  0.108 -0.084]