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Finding the Fourth Proportional to 442.34, 663.82 and 199.14

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Solution

The fourth proportional to 442.34, 663.82 and 199.14 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 663.82 = 199.14 : x
  2. Step 2: Convert to fraction form
    442.34/663.82 = 199.14/x
  3. Step 3: Cross multiply
    442.34x = 663.82 × 199.14
  4. Step 4: Simplify right side
    442.34x = 132,193.11
  5. Step 5: Solve for x
    x = 132,193.11/442.34
  6. Step 6: Final answer
    x = 298.85

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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.