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Finding the Fourth Proportional to 215.52, 323.24 and 93.76

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Solution

The fourth proportional to 215.52, 323.24 and 93.76 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 323.24 = 93.76 : x
  2. Step 2: Convert to fraction form
    215.52/323.24 = 93.76/x
  3. Step 3: Cross multiply
    215.52x = 323.24 × 93.76
  4. Step 4: Simplify right side
    215.52x = 30,306.98
  5. Step 5: Solve for x
    x = 30,306.98/215.52
  6. Step 6: Final answer
    x = 140.62

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Why These Related Problems?

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