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Finding the Fourth Proportional to 218.07, 327.17 and 109.82

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Solution

The fourth proportional to 218.07, 327.17 and 109.82 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 327.17 = 109.82 : x
  2. Step 2: Convert to fraction form
    218.07/327.17 = 109.82/x
  3. Step 3: Cross multiply
    218.07x = 327.17 × 109.82
  4. Step 4: Simplify right side
    218.07x = 35,930.90
  5. Step 5: Solve for x
    x = 35,930.90/218.07
  6. Step 6: Final answer
    x = 164.77

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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.