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Finding the Fourth Proportional to 227.72, 314.22 and 129.46

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Solution

The fourth proportional to 227.72, 314.22 and 129.46 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 314.22 = 129.46 : x
  2. Step 2: Convert to fraction form
    227.72/314.22 = 129.46/x
  3. Step 3: Cross multiply
    227.72x = 314.22 × 129.46
  4. Step 4: Simplify right side
    227.72x = 40,678.27
  5. Step 5: Solve for x
    x = 40,678.27/227.72
  6. Step 6: Final answer
    x = 178.64

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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.