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Finding the Fourth Proportional to 426.08, 638.43 and 165.79

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Solution

The fourth proportional to 426.08, 638.43 and 165.79 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 638.43 = 165.79 : x
  2. Step 2: Convert to fraction form
    426.08/638.43 = 165.79/x
  3. Step 3: Cross multiply
    426.08x = 638.43 × 165.79
  4. Step 4: Simplify right side
    426.08x = 105,843.71
  5. Step 5: Solve for x
    x = 105,843.71/426.08
  6. Step 6: Final answer
    x = 248.41

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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.