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Finding the Fourth Proportional to 165.65, 227.86 and 138.97

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Solution

The fourth proportional to 165.65, 227.86 and 138.97 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 227.86 = 138.97 : x
  2. Step 2: Convert to fraction form
    165.65/227.86 = 138.97/x
  3. Step 3: Cross multiply
    165.65x = 227.86 × 138.97
  4. Step 4: Simplify right side
    165.65x = 31,665.14
  5. Step 5: Solve for x
    x = 31,665.14/165.65
  6. Step 6: Final answer
    x = 191.16

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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.