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Finding the Fourth Proportional to 221.47, 332.28 and 84.52

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Solution

The fourth proportional to 221.47, 332.28 and 84.52 is: 126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.47 : 332.28 = 84.52 : x
  2. Step 2: Convert to fraction form
    221.47/332.28 = 84.52/x
  3. Step 3: Cross multiply
    221.47x = 332.28 × 84.52
  4. Step 4: Simplify right side
    221.47x = 28,084.31
  5. Step 5: Solve for x
    x = 28,084.31/221.47
  6. Step 6: Final answer
    x = 126.81

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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.