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Finding the Fourth Proportional to 227.54, 314.06 and 169.22

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Solution

The fourth proportional to 227.54, 314.06 and 169.22 is: 233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 314.06 = 169.22 : x
  2. Step 2: Convert to fraction form
    227.54/314.06 = 169.22/x
  3. Step 3: Cross multiply
    227.54x = 314.06 × 169.22
  4. Step 4: Simplify right side
    227.54x = 53,142.82
  5. Step 5: Solve for x
    x = 53,142.82/227.54
  6. Step 6: Final answer
    x = 233.56

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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.