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Finding the Fourth Proportional to 396.12, 594.22 and 179.84

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Solution

The fourth proportional to 396.12, 594.22 and 179.84 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.12 : 594.22 = 179.84 : x
  2. Step 2: Convert to fraction form
    396.12/594.22 = 179.84/x
  3. Step 3: Cross multiply
    396.12x = 594.22 × 179.84
  4. Step 4: Simplify right side
    396.12x = 106,864.52
  5. Step 5: Solve for x
    x = 106,864.52/396.12
  6. Step 6: Final answer
    x = 269.78

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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.