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Finding the Fourth Proportional to 339.14, 467.76 and 213.14

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Solution

The fourth proportional to 339.14, 467.76 and 213.14 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.14 : 467.76 = 213.14 : x
  2. Step 2: Convert to fraction form
    339.14/467.76 = 213.14/x
  3. Step 3: Cross multiply
    339.14x = 467.76 × 213.14
  4. Step 4: Simplify right side
    339.14x = 99,698.37
  5. Step 5: Solve for x
    x = 99,698.37/339.14
  6. Step 6: Final answer
    x = 293.97

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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.