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Finding the Fourth Proportional to 276.82, 382.02 and 164.78

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Solution

The fourth proportional to 276.82, 382.02 and 164.78 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 382.02 = 164.78 : x
  2. Step 2: Convert to fraction form
    276.82/382.02 = 164.78/x
  3. Step 3: Cross multiply
    276.82x = 382.02 × 164.78
  4. Step 4: Simplify right side
    276.82x = 62,949.26
  5. Step 5: Solve for x
    x = 62,949.26/276.82
  6. Step 6: Final answer
    x = 227.40

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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.