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Finding the Fourth Proportional to 326.32, 489.63 and 164.01

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Solution

The fourth proportional to 326.32, 489.63 and 164.01 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 489.63 = 164.01 : x
  2. Step 2: Convert to fraction form
    326.32/489.63 = 164.01/x
  3. Step 3: Cross multiply
    326.32x = 489.63 × 164.01
  4. Step 4: Simplify right side
    326.32x = 80,304.22
  5. Step 5: Solve for x
    x = 80,304.22/326.32
  6. Step 6: Final answer
    x = 246.09

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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.