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Finding the Fourth Proportional to 234.57, 352.04 and 104.52

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Solution

The fourth proportional to 234.57, 352.04 and 104.52 is: 156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 352.04 = 104.52 : x
  2. Step 2: Convert to fraction form
    234.57/352.04 = 104.52/x
  3. Step 3: Cross multiply
    234.57x = 352.04 × 104.52
  4. Step 4: Simplify right side
    234.57x = 36,794.70
  5. Step 5: Solve for x
    x = 36,794.70/234.57
  6. Step 6: Final answer
    x = 156.86

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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.