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Finding the Fourth Proportional to 276.67, 381.76 and 158.66

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Solution

The fourth proportional to 276.67, 381.76 and 158.66 is: 218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.67 : 381.76 = 158.66 : x
  2. Step 2: Convert to fraction form
    276.67/381.76 = 158.66/x
  3. Step 3: Cross multiply
    276.67x = 381.76 × 158.66
  4. Step 4: Simplify right side
    276.67x = 60,570.06
  5. Step 5: Solve for x
    x = 60,570.06/276.67
  6. Step 6: Final answer
    x = 218.93

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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.