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Finding the Fourth Proportional to 193.70, 267.33 and 120.05

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Solution

The fourth proportional to 193.70, 267.33 and 120.05 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 267.33 = 120.05 : x
  2. Step 2: Convert to fraction form
    193.70/267.33 = 120.05/x
  3. Step 3: Cross multiply
    193.70x = 267.33 × 120.05
  4. Step 4: Simplify right side
    193.70x = 32,093.08
  5. Step 5: Solve for x
    x = 32,093.08/193.70
  6. Step 6: Final answer
    x = 165.68

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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.