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Finding the Fourth Proportional to 276.26, 381.26 and 197.55

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Solution

The fourth proportional to 276.26, 381.26 and 197.55 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 381.26 = 197.55 : x
  2. Step 2: Convert to fraction form
    276.26/381.26 = 197.55/x
  3. Step 3: Cross multiply
    276.26x = 381.26 × 197.55
  4. Step 4: Simplify right side
    276.26x = 75,318.41
  5. Step 5: Solve for x
    x = 75,318.41/276.26
  6. Step 6: Final answer
    x = 272.64

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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.