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Finding the Fourth Proportional to 396.72, 595.07 and 165.61

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Solution

The fourth proportional to 396.72, 595.07 and 165.61 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 595.07 = 165.61 : x
  2. Step 2: Convert to fraction form
    396.72/595.07 = 165.61/x
  3. Step 3: Cross multiply
    396.72x = 595.07 × 165.61
  4. Step 4: Simplify right side
    396.72x = 98,548.03
  5. Step 5: Solve for x
    x = 98,548.03/396.72
  6. Step 6: Final answer
    x = 248.41

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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.