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Finding the Fourth Proportional to 221.62, 332.34 and 67.50

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Solution

The fourth proportional to 221.62, 332.34 and 67.50 is: 101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 332.34 = 67.50 : x
  2. Step 2: Convert to fraction form
    221.62/332.34 = 67.50/x
  3. Step 3: Cross multiply
    221.62x = 332.34 × 67.50
  4. Step 4: Simplify right side
    221.62x = 22,432.95
  5. Step 5: Solve for x
    x = 22,432.95/221.62
  6. Step 6: Final answer
    x = 101.22

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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.