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Finding the Fourth Proportional to 217.20, 323.97 and 202.08

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Solution

The fourth proportional to 217.20, 323.97 and 202.08 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.20 : 323.97 = 202.08 : x
  2. Step 2: Convert to fraction form
    217.20/323.97 = 202.08/x
  3. Step 3: Cross multiply
    217.20x = 323.97 × 202.08
  4. Step 4: Simplify right side
    217.20x = 65,467.86
  5. Step 5: Solve for x
    x = 65,467.86/217.20
  6. Step 6: Final answer
    x = 301.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.