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Finding the Fourth Proportional to 274.28, 378.72 and 187.16

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Solution

The fourth proportional to 274.28, 378.72 and 187.16 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 378.72 = 187.16 : x
  2. Step 2: Convert to fraction form
    274.28/378.72 = 187.16/x
  3. Step 3: Cross multiply
    274.28x = 378.72 × 187.16
  4. Step 4: Simplify right side
    274.28x = 70,881.24
  5. Step 5: Solve for x
    x = 70,881.24/274.28
  6. Step 6: Final answer
    x = 258.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.