Given the task definition, example input & output, solve the new input case.
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]
Output: [0.167, 0.333, 0.500]
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 case for you: [174.027, -66.002, -11.668, 109.287, -1.435, -70.367, 208.044, -74.404, -78.799, 215.403]
Output:
[ 0.431 -0.163 -0.029  0.27  -0.004 -0.174  0.515 -0.184 -0.195  0.533]