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Finding the Fourth Proportional to 193.80, 267.84 and 154.44

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Solution

The fourth proportional to 193.80, 267.84 and 154.44 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 267.84 = 154.44 : x
  2. Step 2: Convert to fraction form
    193.80/267.84 = 154.44/x
  3. Step 3: Cross multiply
    193.80x = 267.84 × 154.44
  4. Step 4: Simplify right side
    193.80x = 41,365.21
  5. Step 5: Solve for x
    x = 41,365.21/193.80
  6. Step 6: Final answer
    x = 213.44

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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.