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Finding the Fourth Proportional to 165.78, 248.41 and 92.59

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Solution

The fourth proportional to 165.78, 248.41 and 92.59 is: 138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.41 = 92.59 : x
  2. Step 2: Convert to fraction form
    165.78/248.41 = 92.59/x
  3. Step 3: Cross multiply
    165.78x = 248.41 × 92.59
  4. Step 4: Simplify right side
    165.78x = 23,000.28
  5. Step 5: Solve for x
    x = 23,000.28/165.78
  6. Step 6: Final answer
    x = 138.74

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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.