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Finding the Fourth Proportional to 325.82, 488.38 and 109.24

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Solution

The fourth proportional to 325.82, 488.38 and 109.24 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.82 : 488.38 = 109.24 : x
  2. Step 2: Convert to fraction form
    325.82/488.38 = 109.24/x
  3. Step 3: Cross multiply
    325.82x = 488.38 × 109.24
  4. Step 4: Simplify right side
    325.82x = 53,350.63
  5. Step 5: Solve for x
    x = 53,350.63/325.82
  6. Step 6: Final answer
    x = 163.74

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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.