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Finding the Fourth Proportional to 276.52, 381.44 and 165.92

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Solution

The fourth proportional to 276.52, 381.44 and 165.92 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 381.44 = 165.92 : x
  2. Step 2: Convert to fraction form
    276.52/381.44 = 165.92/x
  3. Step 3: Cross multiply
    276.52x = 381.44 × 165.92
  4. Step 4: Simplify right side
    276.52x = 63,288.52
  5. Step 5: Solve for x
    x = 63,288.52/276.52
  6. Step 6: Final answer
    x = 228.88

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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.