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Finding the Fourth Proportional to 209.69, 288.41 and 201.18

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Solution

The fourth proportional to 209.69, 288.41 and 201.18 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 288.41 = 201.18 : x
  2. Step 2: Convert to fraction form
    209.69/288.41 = 201.18/x
  3. Step 3: Cross multiply
    209.69x = 288.41 × 201.18
  4. Step 4: Simplify right side
    209.69x = 58,023.53
  5. Step 5: Solve for x
    x = 58,023.53/209.69
  6. Step 6: Final answer
    x = 276.71

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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.