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Finding the Fourth Proportional to 193.85, 267.63 and 173.09

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Solution

The fourth proportional to 193.85, 267.63 and 173.09 is: 238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 267.63 = 173.09 : x
  2. Step 2: Convert to fraction form
    193.85/267.63 = 173.09/x
  3. Step 3: Cross multiply
    193.85x = 267.63 × 173.09
  4. Step 4: Simplify right side
    193.85x = 46,324.08
  5. Step 5: Solve for x
    x = 46,324.08/193.85
  6. Step 6: Final answer
    x = 238.97

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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.