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Finding the Fourth Proportional to 279.45, 418.37 and 197.91

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Solution

The fourth proportional to 279.45, 418.37 and 197.91 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 418.37 = 197.91 : x
  2. Step 2: Convert to fraction form
    279.45/418.37 = 197.91/x
  3. Step 3: Cross multiply
    279.45x = 418.37 × 197.91
  4. Step 4: Simplify right side
    279.45x = 82,798.62
  5. Step 5: Solve for x
    x = 82,798.62/279.45
  6. Step 6: Final answer
    x = 296.29

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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.