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Finding the Fourth Proportional to 339.12, 467.82 and 213.06

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Solution

The fourth proportional to 339.12, 467.82 and 213.06 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.12 : 467.82 = 213.06 : x
  2. Step 2: Convert to fraction form
    339.12/467.82 = 213.06/x
  3. Step 3: Cross multiply
    339.12x = 467.82 × 213.06
  4. Step 4: Simplify right side
    339.12x = 99,673.73
  5. Step 5: Solve for x
    x = 99,673.73/339.12
  6. Step 6: Final answer
    x = 293.92

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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.