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Finding the Fourth Proportional to 263.87, 363.92 and 198.57

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Solution

The fourth proportional to 263.87, 363.92 and 198.57 is: 273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.87 : 363.92 = 198.57 : x
  2. Step 2: Convert to fraction form
    263.87/363.92 = 198.57/x
  3. Step 3: Cross multiply
    263.87x = 363.92 × 198.57
  4. Step 4: Simplify right side
    263.87x = 72,262.60
  5. Step 5: Solve for x
    x = 72,262.60/263.87
  6. Step 6: Final answer
    x = 273.86

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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.