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Finding the Fourth Proportional to 198.69, 297.42 and 107.11

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Solution

The fourth proportional to 198.69, 297.42 and 107.11 is: 160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 297.42 = 107.11 : x
  2. Step 2: Convert to fraction form
    198.69/297.42 = 107.11/x
  3. Step 3: Cross multiply
    198.69x = 297.42 × 107.11
  4. Step 4: Simplify right side
    198.69x = 31,856.66
  5. Step 5: Solve for x
    x = 31,856.66/198.69
  6. Step 6: Final answer
    x = 160.33

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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.