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Finding the Fourth Proportional to 213.64, 294.23 and 198.52

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Solution

The fourth proportional to 213.64, 294.23 and 198.52 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 294.23 = 198.52 : x
  2. Step 2: Convert to fraction form
    213.64/294.23 = 198.52/x
  3. Step 3: Cross multiply
    213.64x = 294.23 × 198.52
  4. Step 4: Simplify right side
    213.64x = 58,410.54
  5. Step 5: Solve for x
    x = 58,410.54/213.64
  6. Step 6: Final answer
    x = 273.41

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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.