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Finding the Fourth Proportional to 315.52, 472.96 and 132.96

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Solution

The fourth proportional to 315.52, 472.96 and 132.96 is: 199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 472.96 = 132.96 : x
  2. Step 2: Convert to fraction form
    315.52/472.96 = 132.96/x
  3. Step 3: Cross multiply
    315.52x = 472.96 × 132.96
  4. Step 4: Simplify right side
    315.52x = 62,884.76
  5. Step 5: Solve for x
    x = 62,884.76/315.52
  6. Step 6: Final answer
    x = 199.31

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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.