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Finding the Fourth Proportional to 396.82, 595.20 and 140.14

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Solution

The fourth proportional to 396.82, 595.20 and 140.14 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 595.20 = 140.14 : x
  2. Step 2: Convert to fraction form
    396.82/595.20 = 140.14/x
  3. Step 3: Cross multiply
    396.82x = 595.20 × 140.14
  4. Step 4: Simplify right side
    396.82x = 83,411.33
  5. Step 5: Solve for x
    x = 83,411.33/396.82
  6. Step 6: Final answer
    x = 210.20

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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.