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Finding the Fourth Proportional to 326.58, 489.87 and 164.04

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Solution

The fourth proportional to 326.58, 489.87 and 164.04 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.58 : 489.87 = 164.04 : x
  2. Step 2: Convert to fraction form
    326.58/489.87 = 164.04/x
  3. Step 3: Cross multiply
    326.58x = 489.87 × 164.04
  4. Step 4: Simplify right side
    326.58x = 80,358.27
  5. Step 5: Solve for x
    x = 80,358.27/326.58
  6. Step 6: Final answer
    x = 246.06

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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.