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Finding the Fourth Proportional to 342.72, 514.11 and 147.73

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Solution

The fourth proportional to 342.72, 514.11 and 147.73 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 514.11 = 147.73 : x
  2. Step 2: Convert to fraction form
    342.72/514.11 = 147.73/x
  3. Step 3: Cross multiply
    342.72x = 514.11 × 147.73
  4. Step 4: Simplify right side
    342.72x = 75,949.47
  5. Step 5: Solve for x
    x = 75,949.47/342.72
  6. Step 6: Final answer
    x = 221.61

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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.