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Finding the Fourth Proportional to 221.52, 331.92 and 180.96

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Solution

The fourth proportional to 221.52, 331.92 and 180.96 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 331.92 = 180.96 : x
  2. Step 2: Convert to fraction form
    221.52/331.92 = 180.96/x
  3. Step 3: Cross multiply
    221.52x = 331.92 × 180.96
  4. Step 4: Simplify right side
    221.52x = 60,064.24
  5. Step 5: Solve for x
    x = 60,064.24/221.52
  6. Step 6: Final answer
    x = 271.15

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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.