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Finding the Fourth Proportional to 165.25, 247.97 and 92.14

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Solution

The fourth proportional to 165.25, 247.97 and 92.14 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.25 : 247.97 = 92.14 : x
  2. Step 2: Convert to fraction form
    165.25/247.97 = 92.14/x
  3. Step 3: Cross multiply
    165.25x = 247.97 × 92.14
  4. Step 4: Simplify right side
    165.25x = 22,846.72
  5. Step 5: Solve for x
    x = 22,846.72/165.25
  6. Step 6: Final answer
    x = 138.26

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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.