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Finding the Fourth Proportional to 198.44, 298.14 and 113

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Solution

The fourth proportional to 198.44, 298.14 and 113 is: 169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 298.14 = 113 : x
  2. Step 2: Convert to fraction form
    198.44/298.14 = 113/x
  3. Step 3: Cross multiply
    198.44x = 298.14 × 113
  4. Step 4: Simplify right side
    198.44x = 33,689.82
  5. Step 5: Solve for x
    x = 33,689.82/198.44
  6. Step 6: Final answer
    x = 169.77

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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.