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Finding the Fourth Proportional to 742.52, 1,114 and 222.54

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Solution

The fourth proportional to 742.52, 1,114 and 222.54 is: 333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.52 : 1,114 = 222.54 : x
  2. Step 2: Convert to fraction form
    742.52/1,114 = 222.54/x
  3. Step 3: Cross multiply
    742.52x = 1,114 × 222.54
  4. Step 4: Simplify right side
    742.52x = 247,909.56
  5. Step 5: Solve for x
    x = 247,909.56/742.52
  6. Step 6: Final answer
    x = 333.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.