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Finding the Fourth Proportional to 232.08, 348.16 and 85.80

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Solution

The fourth proportional to 232.08, 348.16 and 85.80 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 348.16 = 85.80 : x
  2. Step 2: Convert to fraction form
    232.08/348.16 = 85.80/x
  3. Step 3: Cross multiply
    232.08x = 348.16 × 85.80
  4. Step 4: Simplify right side
    232.08x = 29,872.13
  5. Step 5: Solve for x
    x = 29,872.13/232.08
  6. Step 6: Final answer
    x = 128.71

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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.