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Finding the Fourth Proportional to 218.27, 327.27 and 96.47

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Solution

The fourth proportional to 218.27, 327.27 and 96.47 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.27 : 327.27 = 96.47 : x
  2. Step 2: Convert to fraction form
    218.27/327.27 = 96.47/x
  3. Step 3: Cross multiply
    218.27x = 327.27 × 96.47
  4. Step 4: Simplify right side
    218.27x = 31,571.74
  5. Step 5: Solve for x
    x = 31,571.74/218.27
  6. Step 6: Final answer
    x = 144.65

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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.