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Finding the Fourth Proportional to 442.68, 663.96 and 195.87

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Solution

The fourth proportional to 442.68, 663.96 and 195.87 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 663.96 = 195.87 : x
  2. Step 2: Convert to fraction form
    442.68/663.96 = 195.87/x
  3. Step 3: Cross multiply
    442.68x = 663.96 × 195.87
  4. Step 4: Simplify right side
    442.68x = 130,049.85
  5. Step 5: Solve for x
    x = 130,049.85/442.68
  6. Step 6: Final answer
    x = 293.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.