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Finding the Fourth Proportional to 227.62, 314.22 and 172.38

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Solution

The fourth proportional to 227.62, 314.22 and 172.38 is: 237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.62 : 314.22 = 172.38 : x
  2. Step 2: Convert to fraction form
    227.62/314.22 = 172.38/x
  3. Step 3: Cross multiply
    227.62x = 314.22 × 172.38
  4. Step 4: Simplify right side
    227.62x = 54,165.24
  5. Step 5: Solve for x
    x = 54,165.24/227.62
  6. Step 6: Final answer
    x = 237.96

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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.