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Finding the Fourth Proportional to 325.24, 487.70 and 180.92

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Solution

The fourth proportional to 325.24, 487.70 and 180.92 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 487.70 = 180.92 : x
  2. Step 2: Convert to fraction form
    325.24/487.70 = 180.92/x
  3. Step 3: Cross multiply
    325.24x = 487.70 × 180.92
  4. Step 4: Simplify right side
    325.24x = 88,234.68
  5. Step 5: Solve for x
    x = 88,234.68/325.24
  6. Step 6: Final answer
    x = 271.29

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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.