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Finding the Fourth Proportional to 262.20, 362.00 and 169.11

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Solution

The fourth proportional to 262.20, 362.00 and 169.11 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 362.00 = 169.11 : x
  2. Step 2: Convert to fraction form
    262.20/362.00 = 169.11/x
  3. Step 3: Cross multiply
    262.20x = 362.00 × 169.11
  4. Step 4: Simplify right side
    262.20x = 61,217.61
  5. Step 5: Solve for x
    x = 61,217.61/262.20
  6. Step 6: Final answer
    x = 233.48

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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.