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Finding the Fourth Proportional to 198.51, 297.92 and 107.25

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Solution

The fourth proportional to 198.51, 297.92 and 107.25 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 297.92 = 107.25 : x
  2. Step 2: Convert to fraction form
    198.51/297.92 = 107.25/x
  3. Step 3: Cross multiply
    198.51x = 297.92 × 107.25
  4. Step 4: Simplify right side
    198.51x = 31,951.92
  5. Step 5: Solve for x
    x = 31,951.92/198.51
  6. Step 6: Final answer
    x = 160.96

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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.