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Finding the Fourth Proportional to 262.87, 362.94 and 169.84

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Solution

The fourth proportional to 262.87, 362.94 and 169.84 is: 234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.87 : 362.94 = 169.84 : x
  2. Step 2: Convert to fraction form
    262.87/362.94 = 169.84/x
  3. Step 3: Cross multiply
    262.87x = 362.94 × 169.84
  4. Step 4: Simplify right side
    262.87x = 61,641.73
  5. Step 5: Solve for x
    x = 61,641.73/262.87
  6. Step 6: Final answer
    x = 234.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.