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Finding the Fourth Proportional to 232.84, 349.25 and 136.58

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Solution

The fourth proportional to 232.84, 349.25 and 136.58 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 349.25 = 136.58 : x
  2. Step 2: Convert to fraction form
    232.84/349.25 = 136.58/x
  3. Step 3: Cross multiply
    232.84x = 349.25 × 136.58
  4. Step 4: Simplify right side
    232.84x = 47,700.57
  5. Step 5: Solve for x
    x = 47,700.57/232.84
  6. Step 6: Final answer
    x = 204.86

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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.