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Finding the Fourth Proportional to 218.11, 327.27 and 166.72

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Solution

The fourth proportional to 218.11, 327.27 and 166.72 is: 250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.11 : 327.27 = 166.72 : x
  2. Step 2: Convert to fraction form
    218.11/327.27 = 166.72/x
  3. Step 3: Cross multiply
    218.11x = 327.27 × 166.72
  4. Step 4: Simplify right side
    218.11x = 54,560.82
  5. Step 5: Solve for x
    x = 54,560.82/218.11
  6. Step 6: Final answer
    x = 250.16

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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.