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Finding the Fourth Proportional to 205.27, 308.52 and 169.44

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Solution

The fourth proportional to 205.27, 308.52 and 169.44 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 308.52 = 169.44 : x
  2. Step 2: Convert to fraction form
    205.27/308.52 = 169.44/x
  3. Step 3: Cross multiply
    205.27x = 308.52 × 169.44
  4. Step 4: Simplify right side
    205.27x = 52,274.09
  5. Step 5: Solve for x
    x = 52,274.09/205.27
  6. Step 6: Final answer
    x = 254.66

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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.