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Finding the Fourth Proportional to 209.71, 315.28 and 169.38

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Solution

The fourth proportional to 209.71, 315.28 and 169.38 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 315.28 = 169.38 : x
  2. Step 2: Convert to fraction form
    209.71/315.28 = 169.38/x
  3. Step 3: Cross multiply
    209.71x = 315.28 × 169.38
  4. Step 4: Simplify right side
    209.71x = 53,402.13
  5. Step 5: Solve for x
    x = 53,402.13/209.71
  6. Step 6: Final answer
    x = 254.65

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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.