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Finding the Fourth Proportional to 198.27, 297.60 and 95.61

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Solution

The fourth proportional to 198.27, 297.60 and 95.61 is: 143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 297.60 = 95.61 : x
  2. Step 2: Convert to fraction form
    198.27/297.60 = 95.61/x
  3. Step 3: Cross multiply
    198.27x = 297.60 × 95.61
  4. Step 4: Simplify right side
    198.27x = 28,453.54
  5. Step 5: Solve for x
    x = 28,453.54/198.27
  6. Step 6: Final answer
    x = 143.51

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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.