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Finding the Fourth Proportional to 227.82, 314.37 and 129.54

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Solution

The fourth proportional to 227.82, 314.37 and 129.54 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.37 = 129.54 : x
  2. Step 2: Convert to fraction form
    227.82/314.37 = 129.54/x
  3. Step 3: Cross multiply
    227.82x = 314.37 × 129.54
  4. Step 4: Simplify right side
    227.82x = 40,723.49
  5. Step 5: Solve for x
    x = 40,723.49/227.82
  6. Step 6: Final answer
    x = 178.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.