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Finding the Fourth Proportional to 262.57, 393.96 and 140.80

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Solution

The fourth proportional to 262.57, 393.96 and 140.80 is: 211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.57 : 393.96 = 140.80 : x
  2. Step 2: Convert to fraction form
    262.57/393.96 = 140.80/x
  3. Step 3: Cross multiply
    262.57x = 393.96 × 140.80
  4. Step 4: Simplify right side
    262.57x = 55,469.57
  5. Step 5: Solve for x
    x = 55,469.57/262.57
  6. Step 6: Final answer
    x = 211.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.