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Finding the Fourth Proportional to 213.80, 295.22 and 140.09

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Solution

The fourth proportional to 213.80, 295.22 and 140.09 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 295.22 = 140.09 : x
  2. Step 2: Convert to fraction form
    213.80/295.22 = 140.09/x
  3. Step 3: Cross multiply
    213.80x = 295.22 × 140.09
  4. Step 4: Simplify right side
    213.80x = 41,356.24
  5. Step 5: Solve for x
    x = 41,356.24/213.80
  6. Step 6: Final answer
    x = 193.44

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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.