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Finding the Fourth Proportional to 151.91, 226.78 and 137.33

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Solution

The fourth proportional to 151.91, 226.78 and 137.33 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.91 : 226.78 = 137.33 : x
  2. Step 2: Convert to fraction form
    151.91/226.78 = 137.33/x
  3. Step 3: Cross multiply
    151.91x = 226.78 × 137.33
  4. Step 4: Simplify right side
    151.91x = 31,143.84
  5. Step 5: Solve for x
    x = 31,143.84/151.91
  6. Step 6: Final answer
    x = 205.02

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