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Finding the Fourth Proportional to 217.69, 326.36 and 80.66

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Solution

The fourth proportional to 217.69, 326.36 and 80.66 is: 120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 326.36 = 80.66 : x
  2. Step 2: Convert to fraction form
    217.69/326.36 = 80.66/x
  3. Step 3: Cross multiply
    217.69x = 326.36 × 80.66
  4. Step 4: Simplify right side
    217.69x = 26,325.22
  5. Step 5: Solve for x
    x = 26,325.22/217.69
  6. Step 6: Final answer
    x = 120.93

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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.