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Finding the Fourth Proportional to 165.97, 248.96 and 69.79

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Solution

The fourth proportional to 165.97, 248.96 and 69.79 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 248.96 = 69.79 : x
  2. Step 2: Convert to fraction form
    165.97/248.96 = 69.79/x
  3. Step 3: Cross multiply
    165.97x = 248.96 × 69.79
  4. Step 4: Simplify right side
    165.97x = 17,373.32
  5. Step 5: Solve for x
    x = 17,373.32/165.97
  6. Step 6: Final answer
    x = 104.68

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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.