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Finding the Fourth Proportional to 267.74, 369.25 and 205.72

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Solution

The fourth proportional to 267.74, 369.25 and 205.72 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.74 : 369.25 = 205.72 : x
  2. Step 2: Convert to fraction form
    267.74/369.25 = 205.72/x
  3. Step 3: Cross multiply
    267.74x = 369.25 × 205.72
  4. Step 4: Simplify right side
    267.74x = 75,960.67
  5. Step 5: Solve for x
    x = 75,960.67/267.74
  6. Step 6: Final answer
    x = 283.72

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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.