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: [30.258, -2.341, 80.373, -57.714, 76.333, -92.888, -10.629, 12.743, 228.419, 156.8]
Solution:
[ 0.072 -0.006  0.191 -0.137  0.181 -0.22  -0.025  0.03   0.542  0.372]