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Finding the Fourth Proportional to 338.07, 466.46 and 198.20

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Solution

The fourth proportional to 338.07, 466.46 and 198.20 is: 273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 466.46 = 198.20 : x
  2. Step 2: Convert to fraction form
    338.07/466.46 = 198.20/x
  3. Step 3: Cross multiply
    338.07x = 466.46 × 198.20
  4. Step 4: Simplify right side
    338.07x = 92,450.67
  5. Step 5: Solve for x
    x = 92,450.67/338.07
  6. Step 6: Final answer
    x = 273.46

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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.