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Finding the Fourth Proportional to 217.29, 325.85 and 119.78

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Solution

The fourth proportional to 217.29, 325.85 and 119.78 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.29 : 325.85 = 119.78 : x
  2. Step 2: Convert to fraction form
    217.29/325.85 = 119.78/x
  3. Step 3: Cross multiply
    217.29x = 325.85 × 119.78
  4. Step 4: Simplify right side
    217.29x = 39,028.08
  5. Step 5: Solve for x
    x = 39,028.08/217.29
  6. Step 6: Final answer
    x = 179.61

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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.