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Finding the Fourth Proportional to 327.96, 491.94 and 111.51

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Solution

The fourth proportional to 327.96, 491.94 and 111.51 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 491.94 = 111.51 : x
  2. Step 2: Convert to fraction form
    327.96/491.94 = 111.51/x
  3. Step 3: Cross multiply
    327.96x = 491.94 × 111.51
  4. Step 4: Simplify right side
    327.96x = 54,856.23
  5. Step 5: Solve for x
    x = 54,856.23/327.96
  6. Step 6: Final answer
    x = 167.27

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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.