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Finding the Fourth Proportional to 151.62, 227.49 and 121.11

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Solution

The fourth proportional to 151.62, 227.49 and 121.11 is: 181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.62 : 227.49 = 121.11 : x
  2. Step 2: Convert to fraction form
    151.62/227.49 = 121.11/x
  3. Step 3: Cross multiply
    151.62x = 227.49 × 121.11
  4. Step 4: Simplify right side
    151.62x = 27,551.31
  5. Step 5: Solve for x
    x = 27,551.31/151.62
  6. Step 6: Final answer
    x = 181.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.