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Finding the Fourth Proportional to 232.84, 349.14 and 104.60

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Solution

The fourth proportional to 232.84, 349.14 and 104.60 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 349.14 = 104.60 : x
  2. Step 2: Convert to fraction form
    232.84/349.14 = 104.60/x
  3. Step 3: Cross multiply
    232.84x = 349.14 × 104.60
  4. Step 4: Simplify right side
    232.84x = 36,520.04
  5. Step 5: Solve for x
    x = 36,520.04/232.84
  6. Step 6: Final answer
    x = 156.85

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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.