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Finding the Fourth Proportional to 218.71, 327.87 and 131.93

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Solution

The fourth proportional to 218.71, 327.87 and 131.93 is: 197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 327.87 = 131.93 : x
  2. Step 2: Convert to fraction form
    218.71/327.87 = 131.93/x
  3. Step 3: Cross multiply
    218.71x = 327.87 × 131.93
  4. Step 4: Simplify right side
    218.71x = 43,255.89
  5. Step 5: Solve for x
    x = 43,255.89/218.71
  6. Step 6: Final answer
    x = 197.78

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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.