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Finding the Fourth Proportional to 151.80, 226.63 and 137.44

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Solution

The fourth proportional to 151.80, 226.63 and 137.44 is: 205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 226.63 = 137.44 : x
  2. Step 2: Convert to fraction form
    151.80/226.63 = 137.44/x
  3. Step 3: Cross multiply
    151.80x = 226.63 × 137.44
  4. Step 4: Simplify right side
    151.80x = 31,147.97
  5. Step 5: Solve for x
    x = 31,147.97/151.80
  6. Step 6: Final answer
    x = 205.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.