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Finding the Fourth Proportional to 218.08, 327.15 and 109.84

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Solution

The fourth proportional to 218.08, 327.15 and 109.84 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 327.15 = 109.84 : x
  2. Step 2: Convert to fraction form
    218.08/327.15 = 109.84/x
  3. Step 3: Cross multiply
    218.08x = 327.15 × 109.84
  4. Step 4: Simplify right side
    218.08x = 35,934.16
  5. Step 5: Solve for x
    x = 35,934.16/218.08
  6. Step 6: Final answer
    x = 164.78

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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.