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Finding the Fourth Proportional to 217.65, 326.27 and 73.27

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Solution

The fourth proportional to 217.65, 326.27 and 73.27 is: 109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.65 : 326.27 = 73.27 : x
  2. Step 2: Convert to fraction form
    217.65/326.27 = 73.27/x
  3. Step 3: Cross multiply
    217.65x = 326.27 × 73.27
  4. Step 4: Simplify right side
    217.65x = 23,904.90
  5. Step 5: Solve for x
    x = 23,904.90/217.65
  6. Step 6: Final answer
    x = 109.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.