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Finding the Fourth Proportional to 279.38, 418.19 and 206.21

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Solution

The fourth proportional to 279.38, 418.19 and 206.21 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 418.19 = 206.21 : x
  2. Step 2: Convert to fraction form
    279.38/418.19 = 206.21/x
  3. Step 3: Cross multiply
    279.38x = 418.19 × 206.21
  4. Step 4: Simplify right side
    279.38x = 86,231.84
  5. Step 5: Solve for x
    x = 86,231.84/279.38
  6. Step 6: Final answer
    x = 308.66

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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.