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Finding the Fourth Proportional to 279.38, 385.50 and 205.71

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Solution

The fourth proportional to 279.38, 385.50 and 205.71 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 385.50 = 205.71 : x
  2. Step 2: Convert to fraction form
    279.38/385.50 = 205.71/x
  3. Step 3: Cross multiply
    279.38x = 385.50 × 205.71
  4. Step 4: Simplify right side
    279.38x = 79,301.21
  5. Step 5: Solve for x
    x = 79,301.21/279.38
  6. Step 6: Final answer
    x = 283.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.