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Finding the Fourth Proportional to 247.82, 371.90 and 110.84

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Solution

The fourth proportional to 247.82, 371.90 and 110.84 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.82 : 371.90 = 110.84 : x
  2. Step 2: Convert to fraction form
    247.82/371.90 = 110.84/x
  3. Step 3: Cross multiply
    247.82x = 371.90 × 110.84
  4. Step 4: Simplify right side
    247.82x = 41,219.81
  5. Step 5: Solve for x
    x = 41,219.81/247.82
  6. Step 6: Final answer
    x = 166.33

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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.