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Finding the Fourth Proportional to 426.81, 640.00 and 166.61

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Solution

The fourth proportional to 426.81, 640.00 and 166.61 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 640.00 = 166.61 : x
  2. Step 2: Convert to fraction form
    426.81/640.00 = 166.61/x
  3. Step 3: Cross multiply
    426.81x = 640.00 × 166.61
  4. Step 4: Simplify right side
    426.81x = 106,627.67
  5. Step 5: Solve for x
    x = 106,627.67/426.81
  6. Step 6: Final answer
    x = 249.83

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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.