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Finding the Fourth Proportional to 213.71, 295.11 and 172.49

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Solution

The fourth proportional to 213.71, 295.11 and 172.49 is: 238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 295.11 = 172.49 : x
  2. Step 2: Convert to fraction form
    213.71/295.11 = 172.49/x
  3. Step 3: Cross multiply
    213.71x = 295.11 × 172.49
  4. Step 4: Simplify right side
    213.71x = 50,902.05
  5. Step 5: Solve for x
    x = 50,902.05/213.71
  6. Step 6: Final answer
    x = 238.19

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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.