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Finding the Fourth Proportional to 338.75, 467.61 and 198.96

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Solution

The fourth proportional to 338.75, 467.61 and 198.96 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 467.61 = 198.96 : x
  2. Step 2: Convert to fraction form
    338.75/467.61 = 198.96/x
  3. Step 3: Cross multiply
    338.75x = 467.61 × 198.96
  4. Step 4: Simplify right side
    338.75x = 93,033.19
  5. Step 5: Solve for x
    x = 93,033.19/338.75
  6. Step 6: Final answer
    x = 274.64

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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.