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Finding the Fourth Proportional to 276.40, 380.64 and 198.64

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Solution

The fourth proportional to 276.40, 380.64 and 198.64 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 380.64 = 198.64 : x
  2. Step 2: Convert to fraction form
    276.40/380.64 = 198.64/x
  3. Step 3: Cross multiply
    276.40x = 380.64 × 198.64
  4. Step 4: Simplify right side
    276.40x = 75,610.33
  5. Step 5: Solve for x
    x = 75,610.33/276.40
  6. Step 6: Final answer
    x = 273.55

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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.