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Finding the Fourth Proportional to 276.17, 381.40 and 224.22

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Solution

The fourth proportional to 276.17, 381.40 and 224.22 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.17 : 381.40 = 224.22 : x
  2. Step 2: Convert to fraction form
    276.17/381.40 = 224.22/x
  3. Step 3: Cross multiply
    276.17x = 381.40 × 224.22
  4. Step 4: Simplify right side
    276.17x = 85,518.38
  5. Step 5: Solve for x
    x = 85,518.38/276.17
  6. Step 6: Final answer
    x = 309.66

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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.