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Finding the Fourth Proportional to 193.92, 268.02 and 169.62

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Solution

The fourth proportional to 193.92, 268.02 and 169.62 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.92 : 268.02 = 169.62 : x
  2. Step 2: Convert to fraction form
    193.92/268.02 = 169.62/x
  3. Step 3: Cross multiply
    193.92x = 268.02 × 169.62
  4. Step 4: Simplify right side
    193.92x = 45,461.55
  5. Step 5: Solve for x
    x = 45,461.55/193.92
  6. Step 6: Final answer
    x = 234.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.