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Finding the Fourth Proportional to 396.13, 593.75 and 149.10

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Solution

The fourth proportional to 396.13, 593.75 and 149.10 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.13 : 593.75 = 149.10 : x
  2. Step 2: Convert to fraction form
    396.13/593.75 = 149.10/x
  3. Step 3: Cross multiply
    396.13x = 593.75 × 149.10
  4. Step 4: Simplify right side
    396.13x = 88,528.13
  5. Step 5: Solve for x
    x = 88,528.13/396.13
  6. Step 6: Final answer
    x = 223.48

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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.