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Finding the Fourth Proportional to 227.54, 340.80 and 178.74

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Solution

The fourth proportional to 227.54, 340.80 and 178.74 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 340.80 = 178.74 : x
  2. Step 2: Convert to fraction form
    227.54/340.80 = 178.74/x
  3. Step 3: Cross multiply
    227.54x = 340.80 × 178.74
  4. Step 4: Simplify right side
    227.54x = 60,914.59
  5. Step 5: Solve for x
    x = 60,914.59/227.54
  6. Step 6: Final answer
    x = 267.71

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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.