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Finding the Fourth Proportional to 193.81, 267.46 and 110.92

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Solution

The fourth proportional to 193.81, 267.46 and 110.92 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.81 : 267.46 = 110.92 : x
  2. Step 2: Convert to fraction form
    193.81/267.46 = 110.92/x
  3. Step 3: Cross multiply
    193.81x = 267.46 × 110.92
  4. Step 4: Simplify right side
    193.81x = 29,665.05
  5. Step 5: Solve for x
    x = 29,665.05/193.81
  6. Step 6: Final answer
    x = 153.06

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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.