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Finding the Fourth Proportional to 217.76, 326.16 and 136.43

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Solution

The fourth proportional to 217.76, 326.16 and 136.43 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 326.16 = 136.43 : x
  2. Step 2: Convert to fraction form
    217.76/326.16 = 136.43/x
  3. Step 3: Cross multiply
    217.76x = 326.16 × 136.43
  4. Step 4: Simplify right side
    217.76x = 44,496.38
  5. Step 5: Solve for x
    x = 44,496.38/217.76
  6. Step 6: Final answer
    x = 204.34

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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.