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Finding the Fourth Proportional to 576.10, 863.95 and 165.13

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Solution

The fourth proportional to 576.10, 863.95 and 165.13 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 863.95 = 165.13 : x
  2. Step 2: Convert to fraction form
    576.10/863.95 = 165.13/x
  3. Step 3: Cross multiply
    576.10x = 863.95 × 165.13
  4. Step 4: Simplify right side
    576.10x = 142,661.28
  5. Step 5: Solve for x
    x = 142,661.28/576.10
  6. Step 6: Final answer
    x = 247.63

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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.