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Finding the Fourth Proportional to 151.19, 227.78 and 137.31

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Solution

The fourth proportional to 151.19, 227.78 and 137.31 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.19 : 227.78 = 137.31 : x
  2. Step 2: Convert to fraction form
    151.19/227.78 = 137.31/x
  3. Step 3: Cross multiply
    151.19x = 227.78 × 137.31
  4. Step 4: Simplify right side
    151.19x = 31,276.47
  5. Step 5: Solve for x
    x = 31,276.47/151.19
  6. Step 6: Final answer
    x = 206.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.