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Finding the Fourth Proportional to 262.68, 394.20 and 166.56

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Solution

The fourth proportional to 262.68, 394.20 and 166.56 is: 249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 394.20 = 166.56 : x
  2. Step 2: Convert to fraction form
    262.68/394.20 = 166.56/x
  3. Step 3: Cross multiply
    262.68x = 394.20 × 166.56
  4. Step 4: Simplify right side
    262.68x = 65,657.95
  5. Step 5: Solve for x
    x = 65,657.95/262.68
  6. Step 6: Final answer
    x = 249.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.