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Finding the Fourth Proportional to 279.59, 418.91 and 198.24

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Solution

The fourth proportional to 279.59, 418.91 and 198.24 is: 297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.59 : 418.91 = 198.24 : x
  2. Step 2: Convert to fraction form
    279.59/418.91 = 198.24/x
  3. Step 3: Cross multiply
    279.59x = 418.91 × 198.24
  4. Step 4: Simplify right side
    279.59x = 83,043.73
  5. Step 5: Solve for x
    x = 83,043.73/279.59
  6. Step 6: Final answer
    x = 297.02

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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.