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Finding the Fourth Proportional to 576.85, 865.12 and 165.88

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Solution

The fourth proportional to 576.85, 865.12 and 165.88 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.85 : 865.12 = 165.88 : x
  2. Step 2: Convert to fraction form
    576.85/865.12 = 165.88/x
  3. Step 3: Cross multiply
    576.85x = 865.12 × 165.88
  4. Step 4: Simplify right side
    576.85x = 143,500.95
  5. Step 5: Solve for x
    x = 143,500.95/576.85
  6. Step 6: Final answer
    x = 248.77

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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.