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Finding the Fourth Proportional to 267.96, 370.11 and 194.16

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Solution

The fourth proportional to 267.96, 370.11 and 194.16 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 370.11 = 194.16 : x
  2. Step 2: Convert to fraction form
    267.96/370.11 = 194.16/x
  3. Step 3: Cross multiply
    267.96x = 370.11 × 194.16
  4. Step 4: Simplify right side
    267.96x = 71,860.56
  5. Step 5: Solve for x
    x = 71,860.56/267.96
  6. Step 6: Final answer
    x = 268.18

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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.