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Finding the Fourth Proportional to 213.25, 293.30 and 171.71

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Solution

The fourth proportional to 213.25, 293.30 and 171.71 is: 236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.25 : 293.30 = 171.71 : x
  2. Step 2: Convert to fraction form
    213.25/293.30 = 171.71/x
  3. Step 3: Cross multiply
    213.25x = 293.30 × 171.71
  4. Step 4: Simplify right side
    213.25x = 50,362.54
  5. Step 5: Solve for x
    x = 50,362.54/213.25
  6. Step 6: Final answer
    x = 236.17

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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.