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Finding the Fourth Proportional to 217.62, 326.09 and 194.67

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Solution

The fourth proportional to 217.62, 326.09 and 194.67 is: 291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.62 : 326.09 = 194.67 : x
  2. Step 2: Convert to fraction form
    217.62/326.09 = 194.67/x
  3. Step 3: Cross multiply
    217.62x = 326.09 × 194.67
  4. Step 4: Simplify right side
    217.62x = 63,480.43
  5. Step 5: Solve for x
    x = 63,480.43/217.62
  6. Step 6: Final answer
    x = 291.70

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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.