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Finding the Fourth Proportional to 265.86, 367.01 and 206.73

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Solution

The fourth proportional to 265.86, 367.01 and 206.73 is: 285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 367.01 = 206.73 : x
  2. Step 2: Convert to fraction form
    265.86/367.01 = 206.73/x
  3. Step 3: Cross multiply
    265.86x = 367.01 × 206.73
  4. Step 4: Simplify right side
    265.86x = 75,872.88
  5. Step 5: Solve for x
    x = 75,872.88/265.86
  6. Step 6: Final answer
    x = 285.39

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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.