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Finding the Fourth Proportional to 165.68, 248.47 and 78.97

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Solution

The fourth proportional to 165.68, 248.47 and 78.97 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 248.47 = 78.97 : x
  2. Step 2: Convert to fraction form
    165.68/248.47 = 78.97/x
  3. Step 3: Cross multiply
    165.68x = 248.47 × 78.97
  4. Step 4: Simplify right side
    165.68x = 19,620.04
  5. Step 5: Solve for x
    x = 19,620.04/165.68
  6. Step 6: Final answer
    x = 118.42

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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.