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Finding the Fourth Proportional to 165.18, 227.94 and 95.26

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Solution

The fourth proportional to 165.18, 227.94 and 95.26 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.18 : 227.94 = 95.26 : x
  2. Step 2: Convert to fraction form
    165.18/227.94 = 95.26/x
  3. Step 3: Cross multiply
    165.18x = 227.94 × 95.26
  4. Step 4: Simplify right side
    165.18x = 21,713.56
  5. Step 5: Solve for x
    x = 21,713.56/165.18
  6. Step 6: Final answer
    x = 131.45

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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.