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Finding the Fourth Proportional to 367.97, 551.90 and 136.82

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Solution

The fourth proportional to 367.97, 551.90 and 136.82 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.97 : 551.90 = 136.82 : x
  2. Step 2: Convert to fraction form
    367.97/551.90 = 136.82/x
  3. Step 3: Cross multiply
    367.97x = 551.90 × 136.82
  4. Step 4: Simplify right side
    367.97x = 75,512.34
  5. Step 5: Solve for x
    x = 75,512.34/367.97
  6. Step 6: Final answer
    x = 205.21

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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.