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Finding the Fourth Proportional to 576.78, 865.07 and 165.82

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Solution

The fourth proportional to 576.78, 865.07 and 165.82 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 865.07 = 165.82 : x
  2. Step 2: Convert to fraction form
    576.78/865.07 = 165.82/x
  3. Step 3: Cross multiply
    576.78x = 865.07 × 165.82
  4. Step 4: Simplify right side
    576.78x = 143,445.47
  5. Step 5: Solve for x
    x = 143,445.47/576.78
  6. Step 6: Final answer
    x = 248.70

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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.