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Finding the Fourth Proportional to 279.20, 382.28 and 279.20

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Solution

The fourth proportional to 279.20, 382.28 and 279.20 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 382.28 = 279.20 : x
  2. Step 2: Convert to fraction form
    279.20/382.28 = 279.20/x
  3. Step 3: Cross multiply
    279.20x = 382.28 × 279.20
  4. Step 4: Simplify right side
    279.20x = 106,732.58
  5. Step 5: Solve for x
    x = 106,732.58/279.20
  6. Step 6: Final answer
    x = 382.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.