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Finding the Fourth Proportional to 276.52, 381.48 and 158.47

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Solution

The fourth proportional to 276.52, 381.48 and 158.47 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 381.48 = 158.47 : x
  2. Step 2: Convert to fraction form
    276.52/381.48 = 158.47/x
  3. Step 3: Cross multiply
    276.52x = 381.48 × 158.47
  4. Step 4: Simplify right side
    276.52x = 60,453.14
  5. Step 5: Solve for x
    x = 60,453.14/276.52
  6. Step 6: Final answer
    x = 218.62

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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.