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Finding the Fourth Proportional to 279.20, 418.64 and 86.80

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Solution

The fourth proportional to 279.20, 418.64 and 86.80 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 418.64 = 86.80 : x
  2. Step 2: Convert to fraction form
    279.20/418.64 = 86.80/x
  3. Step 3: Cross multiply
    279.20x = 418.64 × 86.80
  4. Step 4: Simplify right side
    279.20x = 36,337.95
  5. Step 5: Solve for x
    x = 36,337.95/279.20
  6. Step 6: Final answer
    x = 130.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.