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Finding the Fourth Proportional to 217.96, 327.12 and 109.76

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Solution

The fourth proportional to 217.96, 327.12 and 109.76 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 327.12 = 109.76 : x
  2. Step 2: Convert to fraction form
    217.96/327.12 = 109.76/x
  3. Step 3: Cross multiply
    217.96x = 327.12 × 109.76
  4. Step 4: Simplify right side
    217.96x = 35,904.69
  5. Step 5: Solve for x
    x = 35,904.69/217.96
  6. Step 6: Final answer
    x = 164.73

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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.