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Finding the Fourth Proportional to 198.65, 275.98 and 196.87

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Solution

The fourth proportional to 198.65, 275.98 and 196.87 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 275.98 = 196.87 : x
  2. Step 2: Convert to fraction form
    198.65/275.98 = 196.87/x
  3. Step 3: Cross multiply
    198.65x = 275.98 × 196.87
  4. Step 4: Simplify right side
    198.65x = 54,331.20
  5. Step 5: Solve for x
    x = 54,331.20/198.65
  6. Step 6: Final answer
    x = 273.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.