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Finding the Fourth Proportional to 576.08, 863.99 and 165.21

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Solution

The fourth proportional to 576.08, 863.99 and 165.21 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.08 : 863.99 = 165.21 : x
  2. Step 2: Convert to fraction form
    576.08/863.99 = 165.21/x
  3. Step 3: Cross multiply
    576.08x = 863.99 × 165.21
  4. Step 4: Simplify right side
    576.08x = 142,738.96
  5. Step 5: Solve for x
    x = 142,738.96/576.08
  6. Step 6: Final answer
    x = 247.78

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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.