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Finding the Fourth Proportional to 218.25, 327.31 and 102.63

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Solution

The fourth proportional to 218.25, 327.31 and 102.63 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.25 : 327.31 = 102.63 : x
  2. Step 2: Convert to fraction form
    218.25/327.31 = 102.63/x
  3. Step 3: Cross multiply
    218.25x = 327.31 × 102.63
  4. Step 4: Simplify right side
    218.25x = 33,591.83
  5. Step 5: Solve for x
    x = 33,591.83/218.25
  6. Step 6: Final answer
    x = 153.91

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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.