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Finding the Fourth Proportional to 234.72, 352.00 and 80.61

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Solution

The fourth proportional to 234.72, 352.00 and 80.61 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 352.00 = 80.61 : x
  2. Step 2: Convert to fraction form
    234.72/352.00 = 80.61/x
  3. Step 3: Cross multiply
    234.72x = 352.00 × 80.61
  4. Step 4: Simplify right side
    234.72x = 28,373.74
  5. Step 5: Solve for x
    x = 28,373.74/234.72
  6. Step 6: Final answer
    x = 120.88

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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.