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Finding the Fourth Proportional to 213.89, 295.26 and 140.33

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Solution

The fourth proportional to 213.89, 295.26 and 140.33 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 295.26 = 140.33 : x
  2. Step 2: Convert to fraction form
    213.89/295.26 = 140.33/x
  3. Step 3: Cross multiply
    213.89x = 295.26 × 140.33
  4. Step 4: Simplify right side
    213.89x = 41,431.83
  5. Step 5: Solve for x
    x = 41,431.83/213.89
  6. Step 6: Final answer
    x = 193.71

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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.