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Finding the Fourth Proportional to 218.54, 327.81 and 122.42

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Solution

The fourth proportional to 218.54, 327.81 and 122.42 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.54 : 327.81 = 122.42 : x
  2. Step 2: Convert to fraction form
    218.54/327.81 = 122.42/x
  3. Step 3: Cross multiply
    218.54x = 327.81 × 122.42
  4. Step 4: Simplify right side
    218.54x = 40,130.50
  5. Step 5: Solve for x
    x = 40,130.50/218.54
  6. Step 6: Final answer
    x = 183.63

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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.