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Finding the Fourth Proportional to 267.99, 369.59 and 205.96

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Solution

The fourth proportional to 267.99, 369.59 and 205.96 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 369.59 = 205.96 : x
  2. Step 2: Convert to fraction form
    267.99/369.59 = 205.96/x
  3. Step 3: Cross multiply
    267.99x = 369.59 × 205.96
  4. Step 4: Simplify right side
    267.99x = 76,120.76
  5. Step 5: Solve for x
    x = 76,120.76/267.99
  6. Step 6: Final answer
    x = 284.04

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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.