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Finding the Fourth Proportional to 247.64, 371.87 and 206.46

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Solution

The fourth proportional to 247.64, 371.87 and 206.46 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 371.87 = 206.46 : x
  2. Step 2: Convert to fraction form
    247.64/371.87 = 206.46/x
  3. Step 3: Cross multiply
    247.64x = 371.87 × 206.46
  4. Step 4: Simplify right side
    247.64x = 76,777.18
  5. Step 5: Solve for x
    x = 76,777.18/247.64
  6. Step 6: Final answer
    x = 310.04

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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.