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Finding the Fourth Proportional to 217.05, 326.19 and 180.71

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Solution

The fourth proportional to 217.05, 326.19 and 180.71 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.05 : 326.19 = 180.71 : x
  2. Step 2: Convert to fraction form
    217.05/326.19 = 180.71/x
  3. Step 3: Cross multiply
    217.05x = 326.19 × 180.71
  4. Step 4: Simplify right side
    217.05x = 58,945.79
  5. Step 5: Solve for x
    x = 58,945.79/217.05
  6. Step 6: Final answer
    x = 271.58

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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.