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Finding the Fourth Proportional to 262.75, 393.97 and 89.38

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Solution

The fourth proportional to 262.75, 393.97 and 89.38 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.75 : 393.97 = 89.38 : x
  2. Step 2: Convert to fraction form
    262.75/393.97 = 89.38/x
  3. Step 3: Cross multiply
    262.75x = 393.97 × 89.38
  4. Step 4: Simplify right side
    262.75x = 35,213.04
  5. Step 5: Solve for x
    x = 35,213.04/262.75
  6. Step 6: Final answer
    x = 134.02

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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.