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Finding the Fourth Proportional to 276.41, 381.19 and 183.24

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Solution

The fourth proportional to 276.41, 381.19 and 183.24 is: 252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.41 : 381.19 = 183.24 : x
  2. Step 2: Convert to fraction form
    276.41/381.19 = 183.24/x
  3. Step 3: Cross multiply
    276.41x = 381.19 × 183.24
  4. Step 4: Simplify right side
    276.41x = 69,848.80
  5. Step 5: Solve for x
    x = 69,848.80/276.41
  6. Step 6: Final answer
    x = 252.70

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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.