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Finding the Fourth Proportional to 227.37, 341.07 and 119.25

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Solution

The fourth proportional to 227.37, 341.07 and 119.25 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 341.07 = 119.25 : x
  2. Step 2: Convert to fraction form
    227.37/341.07 = 119.25/x
  3. Step 3: Cross multiply
    227.37x = 341.07 × 119.25
  4. Step 4: Simplify right side
    227.37x = 40,672.60
  5. Step 5: Solve for x
    x = 40,672.60/227.37
  6. Step 6: Final answer
    x = 178.88

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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.