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Finding the Fourth Proportional to 221.72, 332.46 and 82.89

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Solution

The fourth proportional to 221.72, 332.46 and 82.89 is: 124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 332.46 = 82.89 : x
  2. Step 2: Convert to fraction form
    221.72/332.46 = 82.89/x
  3. Step 3: Cross multiply
    221.72x = 332.46 × 82.89
  4. Step 4: Simplify right side
    221.72x = 27,557.61
  5. Step 5: Solve for x
    x = 27,557.61/221.72
  6. Step 6: Final answer
    x = 124.29

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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.