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Finding the Fourth Proportional to 198.40, 297.78 and 107.14

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Solution

The fourth proportional to 198.40, 297.78 and 107.14 is: 160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 297.78 = 107.14 : x
  2. Step 2: Convert to fraction form
    198.40/297.78 = 107.14/x
  3. Step 3: Cross multiply
    198.40x = 297.78 × 107.14
  4. Step 4: Simplify right side
    198.40x = 31,904.15
  5. Step 5: Solve for x
    x = 31,904.15/198.40
  6. Step 6: Final answer
    x = 160.81

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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.