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Finding the Fourth Proportional to 198.90, 298.29 and 77.24

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Solution

The fourth proportional to 198.90, 298.29 and 77.24 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 298.29 = 77.24 : x
  2. Step 2: Convert to fraction form
    198.90/298.29 = 77.24/x
  3. Step 3: Cross multiply
    198.90x = 298.29 × 77.24
  4. Step 4: Simplify right side
    198.90x = 23,040.67
  5. Step 5: Solve for x
    x = 23,040.67/198.90
  6. Step 6: Final answer
    x = 115.84

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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.