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Finding the Fourth Proportional to 276.59, 381.80 and 203.29

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Solution

The fourth proportional to 276.59, 381.80 and 203.29 is: 280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.59 : 381.80 = 203.29 : x
  2. Step 2: Convert to fraction form
    276.59/381.80 = 203.29/x
  3. Step 3: Cross multiply
    276.59x = 381.80 × 203.29
  4. Step 4: Simplify right side
    276.59x = 77,616.12
  5. Step 5: Solve for x
    x = 77,616.12/276.59
  6. Step 6: Final answer
    x = 280.62

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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.