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Finding the Fourth Proportional to 276.64, 381.92 and 217.51

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Solution

The fourth proportional to 276.64, 381.92 and 217.51 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 381.92 = 217.51 : x
  2. Step 2: Convert to fraction form
    276.64/381.92 = 217.51/x
  3. Step 3: Cross multiply
    276.64x = 381.92 × 217.51
  4. Step 4: Simplify right side
    276.64x = 83,069.38
  5. Step 5: Solve for x
    x = 83,069.38/276.64
  6. Step 6: Final answer
    x = 300.28

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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.