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Finding the Fourth Proportional to 151.31, 225.83 and 136.73

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Solution

The fourth proportional to 151.31, 225.83 and 136.73 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.31 : 225.83 = 136.73 : x
  2. Step 2: Convert to fraction form
    151.31/225.83 = 136.73/x
  3. Step 3: Cross multiply
    151.31x = 225.83 × 136.73
  4. Step 4: Simplify right side
    151.31x = 30,877.05
  5. Step 5: Solve for x
    x = 30,877.05/151.31
  6. Step 6: Final answer
    x = 204.06

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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.