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Finding the Fourth Proportional to 198.93, 298.41 and 77.20

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Solution

The fourth proportional to 198.93, 298.41 and 77.20 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.93 : 298.41 = 77.20 : x
  2. Step 2: Convert to fraction form
    198.93/298.41 = 77.20/x
  3. Step 3: Cross multiply
    198.93x = 298.41 × 77.20
  4. Step 4: Simplify right side
    198.93x = 23,037.25
  5. Step 5: Solve for x
    x = 23,037.25/198.93
  6. Step 6: Final answer
    x = 115.81

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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.