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Finding the Fourth Proportional to 218.05, 327.04 and 102.56

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Solution

The fourth proportional to 218.05, 327.04 and 102.56 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.05 : 327.04 = 102.56 : x
  2. Step 2: Convert to fraction form
    218.05/327.04 = 102.56/x
  3. Step 3: Cross multiply
    218.05x = 327.04 × 102.56
  4. Step 4: Simplify right side
    218.05x = 33,539.33
  5. Step 5: Solve for x
    x = 33,539.33/218.05
  6. Step 6: Final answer
    x = 153.82

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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.