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Finding the Fourth Proportional to 217.67, 300.20 and 195.23

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Solution

The fourth proportional to 217.67, 300.20 and 195.23 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.67 : 300.20 = 195.23 : x
  2. Step 2: Convert to fraction form
    217.67/300.20 = 195.23/x
  3. Step 3: Cross multiply
    217.67x = 300.20 × 195.23
  4. Step 4: Simplify right side
    217.67x = 58,605.57
  5. Step 5: Solve for x
    x = 58,605.57/217.67
  6. Step 6: Final answer
    x = 269.25

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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.