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Finding the Fourth Proportional to 248.14, 371.97 and 111.22

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Solution

The fourth proportional to 248.14, 371.97 and 111.22 is: 166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.14 : 371.97 = 111.22 : x
  2. Step 2: Convert to fraction form
    248.14/371.97 = 111.22/x
  3. Step 3: Cross multiply
    248.14x = 371.97 × 111.22
  4. Step 4: Simplify right side
    248.14x = 41,370.50
  5. Step 5: Solve for x
    x = 41,370.50/248.14
  6. Step 6: Final answer
    x = 166.72

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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.