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Finding the Fourth Proportional to 396.83, 595.29 and 165.88

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Solution

The fourth proportional to 396.83, 595.29 and 165.88 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.83 : 595.29 = 165.88 : x
  2. Step 2: Convert to fraction form
    396.83/595.29 = 165.88/x
  3. Step 3: Cross multiply
    396.83x = 595.29 × 165.88
  4. Step 4: Simplify right side
    396.83x = 98,743.73
  5. Step 5: Solve for x
    x = 98,743.73/396.83
  6. Step 6: Final answer
    x = 248.83

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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.