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Finding the Fourth Proportional to 320.92, 481.41 and 115.51

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Solution

The fourth proportional to 320.92, 481.41 and 115.51 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 481.41 = 115.51 : x
  2. Step 2: Convert to fraction form
    320.92/481.41 = 115.51/x
  3. Step 3: Cross multiply
    320.92x = 481.41 × 115.51
  4. Step 4: Simplify right side
    320.92x = 55,606.47
  5. Step 5: Solve for x
    x = 55,606.47/320.92
  6. Step 6: Final answer
    x = 173.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.