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Finding the Fourth Proportional to 276.22, 381.39 and 182.94

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Solution

The fourth proportional to 276.22, 381.39 and 182.94 is: 252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 381.39 = 182.94 : x
  2. Step 2: Convert to fraction form
    276.22/381.39 = 182.94/x
  3. Step 3: Cross multiply
    276.22x = 381.39 × 182.94
  4. Step 4: Simplify right side
    276.22x = 69,771.49
  5. Step 5: Solve for x
    x = 69,771.49/276.22
  6. Step 6: Final answer
    x = 252.59

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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.