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Finding the Fourth Proportional to 326.34, 489.63 and 164.00

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Solution

The fourth proportional to 326.34, 489.63 and 164.00 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.34 : 489.63 = 164.00 : x
  2. Step 2: Convert to fraction form
    326.34/489.63 = 164.00/x
  3. Step 3: Cross multiply
    326.34x = 489.63 × 164.00
  4. Step 4: Simplify right side
    326.34x = 80,296.87
  5. Step 5: Solve for x
    x = 80,296.87/326.34
  6. Step 6: Final answer
    x = 246.05

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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.