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.
[206.443, 79.952, 71.695, 200.221, 173.768, 179.12, -16.538, -41.821, 167.776, 145.749]