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Finding the Fourth Proportional to 326.74, 490 and 164.31

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Solution

The fourth proportional to 326.74, 490 and 164.31 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.74 : 490 = 164.31 : x
  2. Step 2: Convert to fraction form
    326.74/490 = 164.31/x
  3. Step 3: Cross multiply
    326.74x = 490 × 164.31
  4. Step 4: Simplify right side
    326.74x = 80,511.90
  5. Step 5: Solve for x
    x = 80,511.90/326.74
  6. Step 6: Final answer
    x = 246.41

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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.