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Finding the Fourth Proportional to 220.92, 331.56 and 147.96

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Solution

The fourth proportional to 220.92, 331.56 and 147.96 is: 222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 331.56 = 147.96 : x
  2. Step 2: Convert to fraction form
    220.92/331.56 = 147.96/x
  3. Step 3: Cross multiply
    220.92x = 331.56 × 147.96
  4. Step 4: Simplify right side
    220.92x = 49,057.62
  5. Step 5: Solve for x
    x = 49,057.62/220.92
  6. Step 6: Final answer
    x = 222.06

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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.