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Finding the Fourth Proportional to 193.73, 267.08 and 149.54

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Solution

The fourth proportional to 193.73, 267.08 and 149.54 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 267.08 = 149.54 : x
  2. Step 2: Convert to fraction form
    193.73/267.08 = 149.54/x
  3. Step 3: Cross multiply
    193.73x = 267.08 × 149.54
  4. Step 4: Simplify right side
    193.73x = 39,937.06
  5. Step 5: Solve for x
    x = 39,937.06/193.73
  6. Step 6: Final answer
    x = 206.15

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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.