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Finding the Fourth Proportional to 232.85, 349.01 and 109.32

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Solution

The fourth proportional to 232.85, 349.01 and 109.32 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.85 : 349.01 = 109.32 : x
  2. Step 2: Convert to fraction form
    232.85/349.01 = 109.32/x
  3. Step 3: Cross multiply
    232.85x = 349.01 × 109.32
  4. Step 4: Simplify right side
    232.85x = 38,153.77
  5. Step 5: Solve for x
    x = 38,153.77/232.85
  6. Step 6: Final answer
    x = 163.86

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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.