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Finding the Fourth Proportional to 442.24, 663.61 and 198.76

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Solution

The fourth proportional to 442.24, 663.61 and 198.76 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 663.61 = 198.76 : x
  2. Step 2: Convert to fraction form
    442.24/663.61 = 198.76/x
  3. Step 3: Cross multiply
    442.24x = 663.61 × 198.76
  4. Step 4: Simplify right side
    442.24x = 131,898.13
  5. Step 5: Solve for x
    x = 131,898.13/442.24
  6. Step 6: Final answer
    x = 298.25

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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.