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Finding the Fourth Proportional to 326.91, 490.08 and 164.71

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Solution

The fourth proportional to 326.91, 490.08 and 164.71 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 490.08 = 164.71 : x
  2. Step 2: Convert to fraction form
    326.91/490.08 = 164.71/x
  3. Step 3: Cross multiply
    326.91x = 490.08 × 164.71
  4. Step 4: Simplify right side
    326.91x = 80,718.63
  5. Step 5: Solve for x
    x = 80,718.63/326.91
  6. Step 6: Final answer
    x = 246.91

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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.