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Finding the Fourth Proportional to 338.36, 466.90 and 198.43

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Solution

The fourth proportional to 338.36, 466.90 and 198.43 is: 273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 466.90 = 198.43 : x
  2. Step 2: Convert to fraction form
    338.36/466.90 = 198.43/x
  3. Step 3: Cross multiply
    338.36x = 466.90 × 198.43
  4. Step 4: Simplify right side
    338.36x = 92,645.30
  5. Step 5: Solve for x
    x = 92,645.30/338.36
  6. Step 6: Final answer
    x = 273.81

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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.