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Finding the Fourth Proportional to 209.50, 288.42 and 195.71

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Solution

The fourth proportional to 209.50, 288.42 and 195.71 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 288.42 = 195.71 : x
  2. Step 2: Convert to fraction form
    209.50/288.42 = 195.71/x
  3. Step 3: Cross multiply
    209.50x = 288.42 × 195.71
  4. Step 4: Simplify right side
    209.50x = 56,446.68
  5. Step 5: Solve for x
    x = 56,446.68/209.50
  6. Step 6: Final answer
    x = 269.44

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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.