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Finding the Fourth Proportional to 232.26, 348.06 and 134.73

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Solution

The fourth proportional to 232.26, 348.06 and 134.73 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 348.06 = 134.73 : x
  2. Step 2: Convert to fraction form
    232.26/348.06 = 134.73/x
  3. Step 3: Cross multiply
    232.26x = 348.06 × 134.73
  4. Step 4: Simplify right side
    232.26x = 46,894.12
  5. Step 5: Solve for x
    x = 46,894.12/232.26
  6. Step 6: Final answer
    x = 201.90

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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.