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Finding the Fourth Proportional to 247.87, 342.11 and 206.36

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Solution

The fourth proportional to 247.87, 342.11 and 206.36 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.87 : 342.11 = 206.36 : x
  2. Step 2: Convert to fraction form
    247.87/342.11 = 206.36/x
  3. Step 3: Cross multiply
    247.87x = 342.11 × 206.36
  4. Step 4: Simplify right side
    247.87x = 70,596.62
  5. Step 5: Solve for x
    x = 70,596.62/247.87
  6. Step 6: Final answer
    x = 284.82

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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.