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Finding the Fourth Proportional to 213.20, 319.82 and 126.67

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Solution

The fourth proportional to 213.20, 319.82 and 126.67 is: 190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 319.82 = 126.67 : x
  2. Step 2: Convert to fraction form
    213.20/319.82 = 126.67/x
  3. Step 3: Cross multiply
    213.20x = 319.82 × 126.67
  4. Step 4: Simplify right side
    213.20x = 40,511.60
  5. Step 5: Solve for x
    x = 40,511.60/213.20
  6. Step 6: Final answer
    x = 190.02

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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.