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Finding the Fourth Proportional to 151.71, 227.28 and 137.94

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Solution

The fourth proportional to 151.71, 227.28 and 137.94 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.71 : 227.28 = 137.94 : x
  2. Step 2: Convert to fraction form
    151.71/227.28 = 137.94/x
  3. Step 3: Cross multiply
    151.71x = 227.28 × 137.94
  4. Step 4: Simplify right side
    151.71x = 31,351.00
  5. Step 5: Solve for x
    x = 31,351.00/151.71
  6. Step 6: Final answer
    x = 206.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.