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Finding the Fourth Proportional to 198.67, 298.00 and 52.42

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Solution

The fourth proportional to 198.67, 298.00 and 52.42 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 298.00 = 52.42 : x
  2. Step 2: Convert to fraction form
    198.67/298.00 = 52.42/x
  3. Step 3: Cross multiply
    198.67x = 298.00 × 52.42
  4. Step 4: Simplify right side
    198.67x = 15,620.28
  5. Step 5: Solve for x
    x = 15,620.28/198.67
  6. Step 6: Final answer
    x = 78.63

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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.