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Finding the Fourth Proportional to 213.92, 296.27 and 198.12

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Solution

The fourth proportional to 213.92, 296.27 and 198.12 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 296.27 = 198.12 : x
  2. Step 2: Convert to fraction form
    213.92/296.27 = 198.12/x
  3. Step 3: Cross multiply
    213.92x = 296.27 × 198.12
  4. Step 4: Simplify right side
    213.92x = 58,697.01
  5. Step 5: Solve for x
    x = 58,697.01/213.92
  6. Step 6: Final answer
    x = 274.39

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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.