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Finding the Fourth Proportional to 213.96, 321.07 and 136.98

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Solution

The fourth proportional to 213.96, 321.07 and 136.98 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 321.07 = 136.98 : x
  2. Step 2: Convert to fraction form
    213.96/321.07 = 136.98/x
  3. Step 3: Cross multiply
    213.96x = 321.07 × 136.98
  4. Step 4: Simplify right side
    213.96x = 43,978.56
  5. Step 5: Solve for x
    x = 43,978.56/213.96
  6. Step 6: Final answer
    x = 205.55

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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.