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Finding the Fourth Proportional to 217.86, 326.77 and 141.31

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Solution

The fourth proportional to 217.86, 326.77 and 141.31 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 326.77 = 141.31 : x
  2. Step 2: Convert to fraction form
    217.86/326.77 = 141.31/x
  3. Step 3: Cross multiply
    217.86x = 326.77 × 141.31
  4. Step 4: Simplify right side
    217.86x = 46,174.62
  5. Step 5: Solve for x
    x = 46,174.62/217.86
  6. Step 6: Final answer
    x = 211.95

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