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Finding the Fourth Proportional to 220.74, 331.10 and 147.54

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Solution

The fourth proportional to 220.74, 331.10 and 147.54 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 331.10 = 147.54 : x
  2. Step 2: Convert to fraction form
    220.74/331.10 = 147.54/x
  3. Step 3: Cross multiply
    220.74x = 331.10 × 147.54
  4. Step 4: Simplify right side
    220.74x = 48,850.49
  5. Step 5: Solve for x
    x = 48,850.49/220.74
  6. Step 6: Final answer
    x = 221.30

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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.