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Finding the Fourth Proportional to 165.78, 248.41 and 84.51

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Solution

The fourth proportional to 165.78, 248.41 and 84.51 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.41 = 84.51 : x
  2. Step 2: Convert to fraction form
    165.78/248.41 = 84.51/x
  3. Step 3: Cross multiply
    165.78x = 248.41 × 84.51
  4. Step 4: Simplify right side
    165.78x = 20,993.13
  5. Step 5: Solve for x
    x = 20,993.13/165.78
  6. Step 6: Final answer
    x = 126.63

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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.