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Finding the Fourth Proportional to 232.57, 348.77 and 86.29

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Solution

The fourth proportional to 232.57, 348.77 and 86.29 is: 129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 348.77 = 86.29 : x
  2. Step 2: Convert to fraction form
    232.57/348.77 = 86.29/x
  3. Step 3: Cross multiply
    232.57x = 348.77 × 86.29
  4. Step 4: Simplify right side
    232.57x = 30,093.62
  5. Step 5: Solve for x
    x = 30,093.62/232.57
  6. Step 6: Final answer
    x = 129.40

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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.