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Finding the Fourth Proportional to 339, 467.87 and 208.09

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Solution

The fourth proportional to 339, 467.87 and 208.09 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 467.87 = 208.09 : x
  2. Step 2: Convert to fraction form
    339/467.87 = 208.09/x
  3. Step 3: Cross multiply
    339x = 467.87 × 208.09
  4. Step 4: Simplify right side
    339x = 97,358.42
  5. Step 5: Solve for x
    x = 97,358.42/339
  6. Step 6: Final answer
    x = 287.19

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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.