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Finding the Fourth Proportional to 276.30, 381.78 and 202.86

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Solution

The fourth proportional to 276.30, 381.78 and 202.86 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 381.78 = 202.86 : x
  2. Step 2: Convert to fraction form
    276.30/381.78 = 202.86/x
  3. Step 3: Cross multiply
    276.30x = 381.78 × 202.86
  4. Step 4: Simplify right side
    276.30x = 77,447.89
  5. Step 5: Solve for x
    x = 77,447.89/276.30
  6. Step 6: Final answer
    x = 280.30

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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.