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Finding the Fourth Proportional to 426.74, 640.36 and 166.92

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Solution

The fourth proportional to 426.74, 640.36 and 166.92 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 640.36 = 166.92 : x
  2. Step 2: Convert to fraction form
    426.74/640.36 = 166.92/x
  3. Step 3: Cross multiply
    426.74x = 640.36 × 166.92
  4. Step 4: Simplify right side
    426.74x = 106,888.89
  5. Step 5: Solve for x
    x = 106,888.89/426.74
  6. Step 6: Final answer
    x = 250.48

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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.