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Finding the Fourth Proportional to 396.15, 594.24 and 164.91

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Solution

The fourth proportional to 396.15, 594.24 and 164.91 is: 247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.15 : 594.24 = 164.91 : x
  2. Step 2: Convert to fraction form
    396.15/594.24 = 164.91/x
  3. Step 3: Cross multiply
    396.15x = 594.24 × 164.91
  4. Step 4: Simplify right side
    396.15x = 97,996.12
  5. Step 5: Solve for x
    x = 97,996.12/396.15
  6. Step 6: Final answer
    x = 247.37

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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.