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Finding the Fourth Proportional to 272.56, 408.92 and 142.56

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Solution

The fourth proportional to 272.56, 408.92 and 142.56 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 408.92 = 142.56 : x
  2. Step 2: Convert to fraction form
    272.56/408.92 = 142.56/x
  3. Step 3: Cross multiply
    272.56x = 408.92 × 142.56
  4. Step 4: Simplify right side
    272.56x = 58,295.64
  5. Step 5: Solve for x
    x = 58,295.64/272.56
  6. Step 6: Final answer
    x = 213.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.