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Finding the Fourth Proportional to 426.84, 640.09 and 166.81

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Solution

The fourth proportional to 426.84, 640.09 and 166.81 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 640.09 = 166.81 : x
  2. Step 2: Convert to fraction form
    426.84/640.09 = 166.81/x
  3. Step 3: Cross multiply
    426.84x = 640.09 × 166.81
  4. Step 4: Simplify right side
    426.84x = 106,773.22
  5. Step 5: Solve for x
    x = 106,773.22/426.84
  6. Step 6: Final answer
    x = 250.15

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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.