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Finding the Fourth Proportional to 164.97, 227.75 and 116.17

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Solution

The fourth proportional to 164.97, 227.75 and 116.17 is: 160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 227.75 = 116.17 : x
  2. Step 2: Convert to fraction form
    164.97/227.75 = 116.17/x
  3. Step 3: Cross multiply
    164.97x = 227.75 × 116.17
  4. Step 4: Simplify right side
    164.97x = 26,456.57
  5. Step 5: Solve for x
    x = 26,456.57/164.97
  6. Step 6: Final answer
    x = 160.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.