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Finding the Fourth Proportional to 220.37, 326.41 and 217.94

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Solution

The fourth proportional to 220.37, 326.41 and 217.94 is: 322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.37 : 326.41 = 217.94 : x
  2. Step 2: Convert to fraction form
    220.37/326.41 = 217.94/x
  3. Step 3: Cross multiply
    220.37x = 326.41 × 217.94
  4. Step 4: Simplify right side
    220.37x = 71,135.62
  5. Step 5: Solve for x
    x = 71,135.62/220.37
  6. Step 6: Final answer
    x = 322.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.