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Finding the Fourth Proportional to 276.92, 382.02 and 206.86

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Solution

The fourth proportional to 276.92, 382.02 and 206.86 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.92 : 382.02 = 206.86 : x
  2. Step 2: Convert to fraction form
    276.92/382.02 = 206.86/x
  3. Step 3: Cross multiply
    276.92x = 382.02 × 206.86
  4. Step 4: Simplify right side
    276.92x = 79,024.66
  5. Step 5: Solve for x
    x = 79,024.66/276.92
  6. Step 6: Final answer
    x = 285.37

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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.