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Finding the Fourth Proportional to 213.75, 295.29 and 140.31

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Solution

The fourth proportional to 213.75, 295.29 and 140.31 is: 193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 295.29 = 140.31 : x
  2. Step 2: Convert to fraction form
    213.75/295.29 = 140.31/x
  3. Step 3: Cross multiply
    213.75x = 295.29 × 140.31
  4. Step 4: Simplify right side
    213.75x = 41,432.14
  5. Step 5: Solve for x
    x = 41,432.14/213.75
  6. Step 6: Final answer
    x = 193.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.