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Finding the Fourth Proportional to 217.99, 327.03 and 109.75

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Solution

The fourth proportional to 217.99, 327.03 and 109.75 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.99 : 327.03 = 109.75 : x
  2. Step 2: Convert to fraction form
    217.99/327.03 = 109.75/x
  3. Step 3: Cross multiply
    217.99x = 327.03 × 109.75
  4. Step 4: Simplify right side
    217.99x = 35,891.54
  5. Step 5: Solve for x
    x = 35,891.54/217.99
  6. Step 6: Final answer
    x = 164.65

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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.