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Let's set up the equation first:
Number of cars = k * number of workers * time
where k is a constant of proportionality.
Using the information given:
204 = k * 340 * 4
Solving for k:
k = 204 / (340 * 4)
k = 0.015
Now we can use this constant to find the number of cars that 400 workers can produce in 3 hours:
Number of cars = 0.015 * 400 * 3
Number of cars = 180
Therefore, 400 workers can produce 180 cars in 3 hours.