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Finding the Fourth Proportional to 218.78, 327.62 and 122.48

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Solution

The fourth proportional to 218.78, 327.62 and 122.48 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.78 : 327.62 = 122.48 : x
  2. Step 2: Convert to fraction form
    218.78/327.62 = 122.48/x
  3. Step 3: Cross multiply
    218.78x = 327.62 × 122.48
  4. Step 4: Simplify right side
    218.78x = 40,124.65
  5. Step 5: Solve for x
    x = 40,124.65/218.78
  6. Step 6: Final answer
    x = 183.41

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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.