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Finding the Fourth Proportional to 198.86, 298.31 and 77.16

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Solution

The fourth proportional to 198.86, 298.31 and 77.16 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 298.31 = 77.16 : x
  2. Step 2: Convert to fraction form
    198.86/298.31 = 77.16/x
  3. Step 3: Cross multiply
    198.86x = 298.31 × 77.16
  4. Step 4: Simplify right side
    198.86x = 23,017.21
  5. Step 5: Solve for x
    x = 23,017.21/198.86
  6. Step 6: Final answer
    x = 115.75

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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.