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Finding the Fourth Proportional to 267.96, 401.85 and 186.84

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Solution

The fourth proportional to 267.96, 401.85 and 186.84 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 401.85 = 186.84 : x
  2. Step 2: Convert to fraction form
    267.96/401.85 = 186.84/x
  3. Step 3: Cross multiply
    267.96x = 401.85 × 186.84
  4. Step 4: Simplify right side
    267.96x = 75,081.65
  5. Step 5: Solve for x
    x = 75,081.65/267.96
  6. Step 6: Final answer
    x = 280.20

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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.