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Finding the Fourth Proportional to 232.83, 349.40 and 88.55

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Solution

The fourth proportional to 232.83, 349.40 and 88.55 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 349.40 = 88.55 : x
  2. Step 2: Convert to fraction form
    232.83/349.40 = 88.55/x
  3. Step 3: Cross multiply
    232.83x = 349.40 × 88.55
  4. Step 4: Simplify right side
    232.83x = 30,939.37
  5. Step 5: Solve for x
    x = 30,939.37/232.83
  6. Step 6: Final answer
    x = 132.88

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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.