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Finding the Fourth Proportional to 267.83, 401.78 and 137.76

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Solution

The fourth proportional to 267.83, 401.78 and 137.76 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.83 : 401.78 = 137.76 : x
  2. Step 2: Convert to fraction form
    267.83/401.78 = 137.76/x
  3. Step 3: Cross multiply
    267.83x = 401.78 × 137.76
  4. Step 4: Simplify right side
    267.83x = 55,349.21
  5. Step 5: Solve for x
    x = 55,349.21/267.83
  6. Step 6: Final answer
    x = 206.66

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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.