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Finding the Fourth Proportional to 489.21, 733.92 and 164.61

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Solution

The fourth proportional to 489.21, 733.92 and 164.61 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.21 : 733.92 = 164.61 : x
  2. Step 2: Convert to fraction form
    489.21/733.92 = 164.61/x
  3. Step 3: Cross multiply
    489.21x = 733.92 × 164.61
  4. Step 4: Simplify right side
    489.21x = 120,810.57
  5. Step 5: Solve for x
    x = 120,810.57/489.21
  6. Step 6: Final answer
    x = 246.95

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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.