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Finding the Fourth Proportional to 272.48, 408.72 and 101.52

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Solution

The fourth proportional to 272.48, 408.72 and 101.52 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.48 : 408.72 = 101.52 : x
  2. Step 2: Convert to fraction form
    272.48/408.72 = 101.52/x
  3. Step 3: Cross multiply
    272.48x = 408.72 × 101.52
  4. Step 4: Simplify right side
    272.48x = 41,493.25
  5. Step 5: Solve for x
    x = 41,493.25/272.48
  6. Step 6: Final answer
    x = 152.28

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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.