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Finding the Fourth Proportional to 198.82, 298.14 and 81.60

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Solution

The fourth proportional to 198.82, 298.14 and 81.60 is: 122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 298.14 = 81.60 : x
  2. Step 2: Convert to fraction form
    198.82/298.14 = 81.60/x
  3. Step 3: Cross multiply
    198.82x = 298.14 × 81.60
  4. Step 4: Simplify right side
    198.82x = 24,328.99
  5. Step 5: Solve for x
    x = 24,328.99/198.82
  6. Step 6: Final answer
    x = 122.37

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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.