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Finding the Fourth Proportional to 235.34, 323.39 and 196.46

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Solution

The fourth proportional to 235.34, 323.39 and 196.46 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.34 : 323.39 = 196.46 : x
  2. Step 2: Convert to fraction form
    235.34/323.39 = 196.46/x
  3. Step 3: Cross multiply
    235.34x = 323.39 × 196.46
  4. Step 4: Simplify right side
    235.34x = 63,533.20
  5. Step 5: Solve for x
    x = 63,533.20/235.34
  6. Step 6: Final answer
    x = 269.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.