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Finding the Fourth Proportional to 221.49, 332.24 and 77.20

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Solution

The fourth proportional to 221.49, 332.24 and 77.20 is: 115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.49 : 332.24 = 77.20 : x
  2. Step 2: Convert to fraction form
    221.49/332.24 = 77.20/x
  3. Step 3: Cross multiply
    221.49x = 332.24 × 77.20
  4. Step 4: Simplify right side
    221.49x = 25,647.71
  5. Step 5: Solve for x
    x = 25,647.71/221.49
  6. Step 6: Final answer
    x = 115.80

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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.