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Finding the Fourth Proportional to 267.99, 369.83 and 149.98

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Solution

The fourth proportional to 267.99, 369.83 and 149.98 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 369.83 = 149.98 : x
  2. Step 2: Convert to fraction form
    267.99/369.83 = 149.98/x
  3. Step 3: Cross multiply
    267.99x = 369.83 × 149.98
  4. Step 4: Simplify right side
    267.99x = 55,466.55
  5. Step 5: Solve for x
    x = 55,466.55/267.99
  6. Step 6: Final answer
    x = 206.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.