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Finding the Fourth Proportional to 276.66, 381.76 and 158.62

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Solution

The fourth proportional to 276.66, 381.76 and 158.62 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 381.76 = 158.62 : x
  2. Step 2: Convert to fraction form
    276.66/381.76 = 158.62/x
  3. Step 3: Cross multiply
    276.66x = 381.76 × 158.62
  4. Step 4: Simplify right side
    276.66x = 60,554.77
  5. Step 5: Solve for x
    x = 60,554.77/276.66
  6. Step 6: Final answer
    x = 218.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.