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Finding the Fourth Proportional to 267.93, 401.69 and 137.82

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Solution

The fourth proportional to 267.93, 401.69 and 137.82 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.93 : 401.69 = 137.82 : x
  2. Step 2: Convert to fraction form
    267.93/401.69 = 137.82/x
  3. Step 3: Cross multiply
    267.93x = 401.69 × 137.82
  4. Step 4: Simplify right side
    267.93x = 55,360.23
  5. Step 5: Solve for x
    x = 55,360.23/267.93
  6. Step 6: Final answer
    x = 206.62

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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.