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Finding the Fourth Proportional to 262.31, 393.52 and 132.34

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Solution

The fourth proportional to 262.31, 393.52 and 132.34 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.31 : 393.52 = 132.34 : x
  2. Step 2: Convert to fraction form
    262.31/393.52 = 132.34/x
  3. Step 3: Cross multiply
    262.31x = 393.52 × 132.34
  4. Step 4: Simplify right side
    262.31x = 52,078.11
  5. Step 5: Solve for x
    x = 52,078.11/262.31
  6. Step 6: Final answer
    x = 198.54

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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.