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Finding the Fourth Proportional to 218.41, 327.46 and 102.79

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Solution

The fourth proportional to 218.41, 327.46 and 102.79 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 327.46 = 102.79 : x
  2. Step 2: Convert to fraction form
    218.41/327.46 = 102.79/x
  3. Step 3: Cross multiply
    218.41x = 327.46 × 102.79
  4. Step 4: Simplify right side
    218.41x = 33,659.57
  5. Step 5: Solve for x
    x = 33,659.57/218.41
  6. Step 6: Final answer
    x = 154.11

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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.