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Finding the Fourth Proportional to 165.43, 247.94 and 92.33

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Solution

The fourth proportional to 165.43, 247.94 and 92.33 is: 138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.43 : 247.94 = 92.33 : x
  2. Step 2: Convert to fraction form
    165.43/247.94 = 92.33/x
  3. Step 3: Cross multiply
    165.43x = 247.94 × 92.33
  4. Step 4: Simplify right side
    165.43x = 22,892.30
  5. Step 5: Solve for x
    x = 22,892.30/165.43
  6. Step 6: Final answer
    x = 138.38

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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.