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Finding the Fourth Proportional to 262.26, 393.12 and 140.46

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Solution

The fourth proportional to 262.26, 393.12 and 140.46 is: 210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 393.12 = 140.46 : x
  2. Step 2: Convert to fraction form
    262.26/393.12 = 140.46/x
  3. Step 3: Cross multiply
    262.26x = 393.12 × 140.46
  4. Step 4: Simplify right side
    262.26x = 55,217.64
  5. Step 5: Solve for x
    x = 55,217.64/262.26
  6. Step 6: Final answer
    x = 210.55

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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.