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Finding the Fourth Proportional to 267.87, 401.84 and 121.56

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Solution

The fourth proportional to 267.87, 401.84 and 121.56 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 401.84 = 121.56 : x
  2. Step 2: Convert to fraction form
    267.87/401.84 = 121.56/x
  3. Step 3: Cross multiply
    267.87x = 401.84 × 121.56
  4. Step 4: Simplify right side
    267.87x = 48,847.67
  5. Step 5: Solve for x
    x = 48,847.67/267.87
  6. Step 6: Final answer
    x = 182.36

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Why These Related Problems?

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