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Finding the Fourth Proportional to 198.85, 273.97 and 163.99

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Solution

The fourth proportional to 198.85, 273.97 and 163.99 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 273.97 = 163.99 : x
  2. Step 2: Convert to fraction form
    198.85/273.97 = 163.99/x
  3. Step 3: Cross multiply
    198.85x = 273.97 × 163.99
  4. Step 4: Simplify right side
    198.85x = 44,926.97
  5. Step 5: Solve for x
    x = 44,926.97/198.85
  6. Step 6: Final answer
    x = 225.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.