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Finding the Fourth Proportional to 227.66, 314.07 and 162.22

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Solution

The fourth proportional to 227.66, 314.07 and 162.22 is: 223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 314.07 = 162.22 : x
  2. Step 2: Convert to fraction form
    227.66/314.07 = 162.22/x
  3. Step 3: Cross multiply
    227.66x = 314.07 × 162.22
  4. Step 4: Simplify right side
    227.66x = 50,948.44
  5. Step 5: Solve for x
    x = 50,948.44/227.66
  6. Step 6: Final answer
    x = 223.79

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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.