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Finding the Fourth Proportional to 218.19, 301.37 and 159.09

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Solution

The fourth proportional to 218.19, 301.37 and 159.09 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.19 : 301.37 = 159.09 : x
  2. Step 2: Convert to fraction form
    218.19/301.37 = 159.09/x
  3. Step 3: Cross multiply
    218.19x = 301.37 × 159.09
  4. Step 4: Simplify right side
    218.19x = 47,942.65
  5. Step 5: Solve for x
    x = 47,942.65/218.19
  6. Step 6: Final answer
    x = 219.73

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Why These Related Problems?

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