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Finding the Fourth Proportional to 396.85, 595.36 and 136.87

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Solution

The fourth proportional to 396.85, 595.36 and 136.87 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.85 : 595.36 = 136.87 : x
  2. Step 2: Convert to fraction form
    396.85/595.36 = 136.87/x
  3. Step 3: Cross multiply
    396.85x = 595.36 × 136.87
  4. Step 4: Simplify right side
    396.85x = 81,485.09
  5. Step 5: Solve for x
    x = 81,485.09/396.85
  6. Step 6: Final answer
    x = 205.33

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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.