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Finding the Fourth Proportional to 396.26, 594.42 and 136.28

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Solution

The fourth proportional to 396.26, 594.42 and 136.28 is: 204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.26 : 594.42 = 136.28 : x
  2. Step 2: Convert to fraction form
    396.26/594.42 = 136.28/x
  3. Step 3: Cross multiply
    396.26x = 594.42 × 136.28
  4. Step 4: Simplify right side
    396.26x = 81,007.56
  5. Step 5: Solve for x
    x = 81,007.56/396.26
  6. Step 6: Final answer
    x = 204.43

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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.