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Finding the Fourth Proportional to 442.22, 663.12 and 198.61

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Solution

The fourth proportional to 442.22, 663.12 and 198.61 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.22 : 663.12 = 198.61 : x
  2. Step 2: Convert to fraction form
    442.22/663.12 = 198.61/x
  3. Step 3: Cross multiply
    442.22x = 663.12 × 198.61
  4. Step 4: Simplify right side
    442.22x = 131,700.61
  5. Step 5: Solve for x
    x = 131,700.61/442.22
  6. Step 6: Final answer
    x = 297.82

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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.