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Finding the Fourth Proportional to 576.08, 864.25 and 165.22

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Solution

The fourth proportional to 576.08, 864.25 and 165.22 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.08 : 864.25 = 165.22 : x
  2. Step 2: Convert to fraction form
    576.08/864.25 = 165.22/x
  3. Step 3: Cross multiply
    576.08x = 864.25 × 165.22
  4. Step 4: Simplify right side
    576.08x = 142,786.24
  5. Step 5: Solve for x
    x = 142,786.24/576.08
  6. Step 6: Final answer
    x = 247.86

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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.