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Finding the Fourth Proportional to 218.30, 327.49 and 102.74

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Solution

The fourth proportional to 218.30, 327.49 and 102.74 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 327.49 = 102.74 : x
  2. Step 2: Convert to fraction form
    218.30/327.49 = 102.74/x
  3. Step 3: Cross multiply
    218.30x = 327.49 × 102.74
  4. Step 4: Simplify right side
    218.30x = 33,644.43
  5. Step 5: Solve for x
    x = 33,644.43/218.30
  6. Step 6: Final answer
    x = 154.12

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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.