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Finding the Fourth Proportional to 338.37, 466.97 and 198.47

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Solution

The fourth proportional to 338.37, 466.97 and 198.47 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.37 : 466.97 = 198.47 : x
  2. Step 2: Convert to fraction form
    338.37/466.97 = 198.47/x
  3. Step 3: Cross multiply
    338.37x = 466.97 × 198.47
  4. Step 4: Simplify right side
    338.37x = 92,676.21
  5. Step 5: Solve for x
    x = 92,676.21/338.37
  6. Step 6: Final answer
    x = 273.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.