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Finding the Fourth Proportional to 327.84, 491.61 and 111.27

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Solution

The fourth proportional to 327.84, 491.61 and 111.27 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 491.61 = 111.27 : x
  2. Step 2: Convert to fraction form
    327.84/491.61 = 111.27/x
  3. Step 3: Cross multiply
    327.84x = 491.61 × 111.27
  4. Step 4: Simplify right side
    327.84x = 54,701.44
  5. Step 5: Solve for x
    x = 54,701.44/327.84
  6. Step 6: Final answer
    x = 166.85

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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.