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Finding the Fourth Proportional to 232.59, 349.04 and 110.87

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Solution

The fourth proportional to 232.59, 349.04 and 110.87 is: 166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 349.04 = 110.87 : x
  2. Step 2: Convert to fraction form
    232.59/349.04 = 110.87/x
  3. Step 3: Cross multiply
    232.59x = 349.04 × 110.87
  4. Step 4: Simplify right side
    232.59x = 38,697.91
  5. Step 5: Solve for x
    x = 38,697.91/232.59
  6. Step 6: Final answer
    x = 166.38

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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.