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Finding the Fourth Proportional to 489.29, 733.68 and 164.54

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Solution

The fourth proportional to 489.29, 733.68 and 164.54 is: 246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.29 : 733.68 = 164.54 : x
  2. Step 2: Convert to fraction form
    489.29/733.68 = 164.54/x
  3. Step 3: Cross multiply
    489.29x = 733.68 × 164.54
  4. Step 4: Simplify right side
    489.29x = 120,716.04
  5. Step 5: Solve for x
    x = 120,716.04/489.29
  6. Step 6: Final answer
    x = 246.72

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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.