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Finding the Fourth Proportional to 326.94, 490.05 and 164.27

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Solution

The fourth proportional to 326.94, 490.05 and 164.27 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 490.05 = 164.27 : x
  2. Step 2: Convert to fraction form
    326.94/490.05 = 164.27/x
  3. Step 3: Cross multiply
    326.94x = 490.05 × 164.27
  4. Step 4: Simplify right side
    326.94x = 80,498.06
  5. Step 5: Solve for x
    x = 80,498.06/326.94
  6. Step 6: Final answer
    x = 246.22

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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.