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Finding the Fourth Proportional to 218.58, 300.21 and 181.68

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Solution

The fourth proportional to 218.58, 300.21 and 181.68 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.58 : 300.21 = 181.68 : x
  2. Step 2: Convert to fraction form
    218.58/300.21 = 181.68/x
  3. Step 3: Cross multiply
    218.58x = 300.21 × 181.68
  4. Step 4: Simplify right side
    218.58x = 54,542.15
  5. Step 5: Solve for x
    x = 54,542.15/218.58
  6. Step 6: Final answer
    x = 249.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.