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Finding the Fourth Proportional to 279.09, 385.23 and 200.27

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Solution

The fourth proportional to 279.09, 385.23 and 200.27 is: 276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 385.23 = 200.27 : x
  2. Step 2: Convert to fraction form
    279.09/385.23 = 200.27/x
  3. Step 3: Cross multiply
    279.09x = 385.23 × 200.27
  4. Step 4: Simplify right side
    279.09x = 77,148.09
  5. Step 5: Solve for x
    x = 77,148.09/279.09
  6. Step 6: Final answer
    x = 276.43

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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.