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Finding the Fourth Proportional to 230.95, 344.39 and 196.12

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Solution

The fourth proportional to 230.95, 344.39 and 196.12 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 344.39 = 196.12 : x
  2. Step 2: Convert to fraction form
    230.95/344.39 = 196.12/x
  3. Step 3: Cross multiply
    230.95x = 344.39 × 196.12
  4. Step 4: Simplify right side
    230.95x = 67,540.04
  5. Step 5: Solve for x
    x = 67,540.04/230.95
  6. Step 6: Final answer
    x = 292.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.