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Finding the Fourth Proportional to 262.75, 394.36 and 137.77

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Solution

The fourth proportional to 262.75, 394.36 and 137.77 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.75 : 394.36 = 137.77 : x
  2. Step 2: Convert to fraction form
    262.75/394.36 = 137.77/x
  3. Step 3: Cross multiply
    262.75x = 394.36 × 137.77
  4. Step 4: Simplify right side
    262.75x = 54,330.98
  5. Step 5: Solve for x
    x = 54,330.98/262.75
  6. Step 6: Final answer
    x = 206.78

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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.