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Finding the Fourth Proportional to 217.70, 326.31 and 131.15

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Solution

The fourth proportional to 217.70, 326.31 and 131.15 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.70 : 326.31 = 131.15 : x
  2. Step 2: Convert to fraction form
    217.70/326.31 = 131.15/x
  3. Step 3: Cross multiply
    217.70x = 326.31 × 131.15
  4. Step 4: Simplify right side
    217.70x = 42,795.56
  5. Step 5: Solve for x
    x = 42,795.56/217.70
  6. Step 6: Final answer
    x = 196.58

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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.