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Finding the Fourth Proportional to 217.28, 297.65 and 209.08

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Solution

The fourth proportional to 217.28, 297.65 and 209.08 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 297.65 = 209.08 : x
  2. Step 2: Convert to fraction form
    217.28/297.65 = 209.08/x
  3. Step 3: Cross multiply
    217.28x = 297.65 × 209.08
  4. Step 4: Simplify right side
    217.28x = 62,232.66
  5. Step 5: Solve for x
    x = 62,232.66/217.28
  6. Step 6: Final answer
    x = 286.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.