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Finding the Fourth Proportional to 267.11, 400.73 and 137.06

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Solution

The fourth proportional to 267.11, 400.73 and 137.06 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.11 : 400.73 = 137.06 : x
  2. Step 2: Convert to fraction form
    267.11/400.73 = 137.06/x
  3. Step 3: Cross multiply
    267.11x = 400.73 × 137.06
  4. Step 4: Simplify right side
    267.11x = 54,924.05
  5. Step 5: Solve for x
    x = 54,924.05/267.11
  6. Step 6: Final answer
    x = 205.62

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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.