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Finding the Fourth Proportional to 154.09, 231.14 and 132.22

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Solution

The fourth proportional to 154.09, 231.14 and 132.22 is: 198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 231.14 = 132.22 : x
  2. Step 2: Convert to fraction form
    154.09/231.14 = 132.22/x
  3. Step 3: Cross multiply
    154.09x = 231.14 × 132.22
  4. Step 4: Simplify right side
    154.09x = 30,561.33
  5. Step 5: Solve for x
    x = 30,561.33/154.09
  6. Step 6: Final answer
    x = 198.33

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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.