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Finding the Fourth Proportional to 576.15, 864.25 and 159.72

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Solution

The fourth proportional to 576.15, 864.25 and 159.72 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.15 : 864.25 = 159.72 : x
  2. Step 2: Convert to fraction form
    576.15/864.25 = 159.72/x
  3. Step 3: Cross multiply
    576.15x = 864.25 × 159.72
  4. Step 4: Simplify right side
    576.15x = 138,038.01
  5. Step 5: Solve for x
    x = 138,038.01/576.15
  6. Step 6: Final answer
    x = 239.59

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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.