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: [-27.18, 166.941, 131.759, 2.097, 181.336, 87.503, 75.833, 114.544, -90.573, 195.907]
Solution:
[-0.032  0.199  0.157  0.003  0.216  0.104  0.09   0.137 -0.108  0.234]