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Finding the Fourth Proportional to 221.72, 332.73 and 77.44

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Solution

The fourth proportional to 221.72, 332.73 and 77.44 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 332.73 = 77.44 : x
  2. Step 2: Convert to fraction form
    221.72/332.73 = 77.44/x
  3. Step 3: Cross multiply
    221.72x = 332.73 × 77.44
  4. Step 4: Simplify right side
    221.72x = 25,766.61
  5. Step 5: Solve for x
    x = 25,766.61/221.72
  6. Step 6: Final answer
    x = 116.21

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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.