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Finding the Fourth Proportional to 276.24, 380.84 and 223.72

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Solution

The fourth proportional to 276.24, 380.84 and 223.72 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 380.84 = 223.72 : x
  2. Step 2: Convert to fraction form
    276.24/380.84 = 223.72/x
  3. Step 3: Cross multiply
    276.24x = 380.84 × 223.72
  4. Step 4: Simplify right side
    276.24x = 85,201.52
  5. Step 5: Solve for x
    x = 85,201.52/276.24
  6. Step 6: Final answer
    x = 308.43

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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.