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Finding the Fourth Proportional to 227.41, 313.83 and 129.17

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Solution

The fourth proportional to 227.41, 313.83 and 129.17 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.41 : 313.83 = 129.17 : x
  2. Step 2: Convert to fraction form
    227.41/313.83 = 129.17/x
  3. Step 3: Cross multiply
    227.41x = 313.83 × 129.17
  4. Step 4: Simplify right side
    227.41x = 40,536.87
  5. Step 5: Solve for x
    x = 40,536.87/227.41
  6. Step 6: Final answer
    x = 178.25

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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.