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Finding the Fourth Proportional to 218.32, 327.48 and 81.43

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Solution

The fourth proportional to 218.32, 327.48 and 81.43 is: 122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 327.48 = 81.43 : x
  2. Step 2: Convert to fraction form
    218.32/327.48 = 81.43/x
  3. Step 3: Cross multiply
    218.32x = 327.48 × 81.43
  4. Step 4: Simplify right side
    218.32x = 26,666.84
  5. Step 5: Solve for x
    x = 26,666.84/218.32
  6. Step 6: Final answer
    x = 122.15

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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.