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Finding the Fourth Proportional to 234.52, 351.66 and 112.56

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Solution

The fourth proportional to 234.52, 351.66 and 112.56 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 351.66 = 112.56 : x
  2. Step 2: Convert to fraction form
    234.52/351.66 = 112.56/x
  3. Step 3: Cross multiply
    234.52x = 351.66 × 112.56
  4. Step 4: Simplify right side
    234.52x = 39,582.85
  5. Step 5: Solve for x
    x = 39,582.85/234.52
  6. Step 6: Final answer
    x = 168.78

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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.