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Finding the Fourth Proportional to 267.09, 401.19 and 195.42

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Solution

The fourth proportional to 267.09, 401.19 and 195.42 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.09 : 401.19 = 195.42 : x
  2. Step 2: Convert to fraction form
    267.09/401.19 = 195.42/x
  3. Step 3: Cross multiply
    267.09x = 401.19 × 195.42
  4. Step 4: Simplify right side
    267.09x = 78,400.55
  5. Step 5: Solve for x
    x = 78,400.55/267.09
  6. Step 6: Final answer
    x = 293.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.