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Finding the Fourth Proportional to 339, 467.68 and 199.08

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Solution

The fourth proportional to 339, 467.68 and 199.08 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 467.68 = 199.08 : x
  2. Step 2: Convert to fraction form
    339/467.68 = 199.08/x
  3. Step 3: Cross multiply
    339x = 467.68 × 199.08
  4. Step 4: Simplify right side
    339x = 93,105.73
  5. Step 5: Solve for x
    x = 93,105.73/339
  6. Step 6: Final answer
    x = 274.65

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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.