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Finding the Fourth Proportional to 247.94, 371.73 and 109.05

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Solution

The fourth proportional to 247.94, 371.73 and 109.05 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.94 : 371.73 = 109.05 : x
  2. Step 2: Convert to fraction form
    247.94/371.73 = 109.05/x
  3. Step 3: Cross multiply
    247.94x = 371.73 × 109.05
  4. Step 4: Simplify right side
    247.94x = 40,536.52
  5. Step 5: Solve for x
    x = 40,536.52/247.94
  6. Step 6: Final answer
    x = 163.50

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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.