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Finding the Fourth Proportional to 276.66, 382.05 and 224.82

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Solution

The fourth proportional to 276.66, 382.05 and 224.82 is: 310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 382.05 = 224.82 : x
  2. Step 2: Convert to fraction form
    276.66/382.05 = 224.82/x
  3. Step 3: Cross multiply
    276.66x = 382.05 × 224.82
  4. Step 4: Simplify right side
    276.66x = 85,892.48
  5. Step 5: Solve for x
    x = 85,892.48/276.66
  6. Step 6: Final answer
    x = 310.46

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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.