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Finding the Fourth Proportional to 576.53, 864.82 and 165.67

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Solution

The fourth proportional to 576.53, 864.82 and 165.67 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.53 : 864.82 = 165.67 : x
  2. Step 2: Convert to fraction form
    576.53/864.82 = 165.67/x
  3. Step 3: Cross multiply
    576.53x = 864.82 × 165.67
  4. Step 4: Simplify right side
    576.53x = 143,273.90
  5. Step 5: Solve for x
    x = 143,273.90/576.53
  6. Step 6: Final answer
    x = 248.51

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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.