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Finding the Fourth Proportional to 326.42, 489.03 and 164.10

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Solution

The fourth proportional to 326.42, 489.03 and 164.10 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 489.03 = 164.10 : x
  2. Step 2: Convert to fraction form
    326.42/489.03 = 164.10/x
  3. Step 3: Cross multiply
    326.42x = 489.03 × 164.10
  4. Step 4: Simplify right side
    326.42x = 80,249.82
  5. Step 5: Solve for x
    x = 80,249.82/326.42
  6. Step 6: Final answer
    x = 245.85

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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.