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Finding the Fourth Proportional to 279.20, 378 and 279.20

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Solution

The fourth proportional to 279.20, 378 and 279.20 is: 378

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 378 = 279.20 : x
  2. Step 2: Convert to fraction form
    279.20/378 = 279.20/x
  3. Step 3: Cross multiply
    279.20x = 378 × 279.20
  4. Step 4: Simplify right side
    279.20x = 105,537.60
  5. Step 5: Solve for x
    x = 105,537.60/279.20
  6. Step 6: Final answer
    x = 378

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.