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Finding the Fourth Proportional to 151.78, 227.66 and 43.55

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Solution

The fourth proportional to 151.78, 227.66 and 43.55 is: 65.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.78 : 227.66 = 43.55 : x
  2. Step 2: Convert to fraction form
    151.78/227.66 = 43.55/x
  3. Step 3: Cross multiply
    151.78x = 227.66 × 43.55
  4. Step 4: Simplify right side
    151.78x = 9,914.94
  5. Step 5: Solve for x
    x = 9,914.94/151.78
  6. Step 6: Final answer
    x = 65.33

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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.