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Finding the Fourth Proportional to 234.62, 352.24 and 166.18

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Solution

The fourth proportional to 234.62, 352.24 and 166.18 is: 249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 352.24 = 166.18 : x
  2. Step 2: Convert to fraction form
    234.62/352.24 = 166.18/x
  3. Step 3: Cross multiply
    234.62x = 352.24 × 166.18
  4. Step 4: Simplify right side
    234.62x = 58,535.24
  5. Step 5: Solve for x
    x = 58,535.24/234.62
  6. Step 6: Final answer
    x = 249.49

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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.