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Finding the Fourth Proportional to 165, 227.52 and 120.54

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Solution

The fourth proportional to 165, 227.52 and 120.54 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 227.52 = 120.54 : x
  2. Step 2: Convert to fraction form
    165/227.52 = 120.54/x
  3. Step 3: Cross multiply
    165x = 227.52 × 120.54
  4. Step 4: Simplify right side
    165x = 27,425.26
  5. Step 5: Solve for x
    x = 27,425.26/165
  6. Step 6: Final answer
    x = 166.21

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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.