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Finding the Fourth Proportional to 442.92, 663.96 and 199.20

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Solution

The fourth proportional to 442.92, 663.96 and 199.20 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 663.96 = 199.20 : x
  2. Step 2: Convert to fraction form
    442.92/663.96 = 199.20/x
  3. Step 3: Cross multiply
    442.92x = 663.96 × 199.20
  4. Step 4: Simplify right side
    442.92x = 132,260.83
  5. Step 5: Solve for x
    x = 132,260.83/442.92
  6. Step 6: Final answer
    x = 298.61

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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.