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Finding the Fourth Proportional to 315, 472.30 and 132.52

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Solution

The fourth proportional to 315, 472.30 and 132.52 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 472.30 = 132.52 : x
  2. Step 2: Convert to fraction form
    315/472.30 = 132.52/x
  3. Step 3: Cross multiply
    315x = 472.30 × 132.52
  4. Step 4: Simplify right side
    315x = 62,589.20
  5. Step 5: Solve for x
    x = 62,589.20/315
  6. Step 6: Final answer
    x = 198.70

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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.