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Finding the Fourth Proportional to 326.54, 489.32 and 164

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Solution

The fourth proportional to 326.54, 489.32 and 164 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.54 : 489.32 = 164 : x
  2. Step 2: Convert to fraction form
    326.54/489.32 = 164/x
  3. Step 3: Cross multiply
    326.54x = 489.32 × 164
  4. Step 4: Simplify right side
    326.54x = 80,248.48
  5. Step 5: Solve for x
    x = 80,248.48/326.54
  6. Step 6: Final answer
    x = 245.75

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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.