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Finding the Fourth Proportional to 339.20, 468.06 and 197.43

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Solution

The fourth proportional to 339.20, 468.06 and 197.43 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 468.06 = 197.43 : x
  2. Step 2: Convert to fraction form
    339.20/468.06 = 197.43/x
  3. Step 3: Cross multiply
    339.20x = 468.06 × 197.43
  4. Step 4: Simplify right side
    339.20x = 92,409.09
  5. Step 5: Solve for x
    x = 92,409.09/339.20
  6. Step 6: Final answer
    x = 272.44

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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.