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Finding the Fourth Proportional to 165, 227.42 and 151.94

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Solution

The fourth proportional to 165, 227.42 and 151.94 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 227.42 = 151.94 : x
  2. Step 2: Convert to fraction form
    165/227.42 = 151.94/x
  3. Step 3: Cross multiply
    165x = 227.42 × 151.94
  4. Step 4: Simplify right side
    165x = 34,552.30
  5. Step 5: Solve for x
    x = 34,552.30/165
  6. Step 6: Final answer
    x = 209.41

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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.