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Finding the Fourth Proportional to 262.91, 363.01 and 169.71

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Solution

The fourth proportional to 262.91, 363.01 and 169.71 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 363.01 = 169.71 : x
  2. Step 2: Convert to fraction form
    262.91/363.01 = 169.71/x
  3. Step 3: Cross multiply
    262.91x = 363.01 × 169.71
  4. Step 4: Simplify right side
    262.91x = 61,607.48
  5. Step 5: Solve for x
    x = 61,607.48/262.91
  6. Step 6: Final answer
    x = 234.33

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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.