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Finding the Fourth Proportional to 218.87, 301.05 and 181.27

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Solution

The fourth proportional to 218.87, 301.05 and 181.27 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 301.05 = 181.27 : x
  2. Step 2: Convert to fraction form
    218.87/301.05 = 181.27/x
  3. Step 3: Cross multiply
    218.87x = 301.05 × 181.27
  4. Step 4: Simplify right side
    218.87x = 54,571.33
  5. Step 5: Solve for x
    x = 54,571.33/218.87
  6. Step 6: Final answer
    x = 249.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.