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Finding the Fourth Proportional to 338.68, 467.46 and 198.76

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Solution

The fourth proportional to 338.68, 467.46 and 198.76 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 467.46 = 198.76 : x
  2. Step 2: Convert to fraction form
    338.68/467.46 = 198.76/x
  3. Step 3: Cross multiply
    338.68x = 467.46 × 198.76
  4. Step 4: Simplify right side
    338.68x = 92,912.35
  5. Step 5: Solve for x
    x = 92,912.35/338.68
  6. Step 6: Final answer
    x = 274.34

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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.