Answer :
Rounding to the nearest pound, the weight of the similar bar that is two feet four inches long would be approximately 30 pounds.
To find the weight of a metal bar that is two feet four inches long, we can use the concept of proportions.
First, let's convert the length of the original metal bar to inches. Since there are 12 inches in a foot, the original metal bar is 10 feet long, which is equal to 10 * 12 = 120 inches.
Now, we can set up a proportion using the lengths of the two metal bars:
120 inches (original bar) is to 128 pounds (original weight) as 28 inches (new bar) is to x (new weight).
Using cross multiplication, we can solve for x:
120 * x = 28 * 128
Dividing both sides of the equation by 120, we get:
x = (28 * 128) / 120
Calculating this expression, we find:
x ≈ 29.87 pounds.
Rounding this to the nearest pound, the weight of the similar bar that is two feet four inches long would be approximately 30 pounds.
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