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Finding the Fourth Proportional to 151.69, 226.39 and 137.11

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Solution

The fourth proportional to 151.69, 226.39 and 137.11 is: 204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 226.39 = 137.11 : x
  2. Step 2: Convert to fraction form
    151.69/226.39 = 137.11/x
  3. Step 3: Cross multiply
    151.69x = 226.39 × 137.11
  4. Step 4: Simplify right side
    151.69x = 31,039.08
  5. Step 5: Solve for x
    x = 31,039.08/151.69
  6. Step 6: Final answer
    x = 204.63

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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.