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Finding the Fourth Proportional to 576.18, 864.33 and 165.38

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Solution

The fourth proportional to 576.18, 864.33 and 165.38 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 864.33 = 165.38 : x
  2. Step 2: Convert to fraction form
    576.18/864.33 = 165.38/x
  3. Step 3: Cross multiply
    576.18x = 864.33 × 165.38
  4. Step 4: Simplify right side
    576.18x = 142,942.07
  5. Step 5: Solve for x
    x = 142,942.07/576.18
  6. Step 6: Final answer
    x = 248.09

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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.