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Finding the Fourth Proportional to 218.54, 327.44 and 131.78

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Solution

The fourth proportional to 218.54, 327.44 and 131.78 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.54 : 327.44 = 131.78 : x
  2. Step 2: Convert to fraction form
    218.54/327.44 = 131.78/x
  3. Step 3: Cross multiply
    218.54x = 327.44 × 131.78
  4. Step 4: Simplify right side
    218.54x = 43,150.04
  5. Step 5: Solve for x
    x = 43,150.04/218.54
  6. Step 6: Final answer
    x = 197.45

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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.