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Finding the Fourth Proportional to 327.57, 491.47 and 111.14

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Solution

The fourth proportional to 327.57, 491.47 and 111.14 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 491.47 = 111.14 : x
  2. Step 2: Convert to fraction form
    327.57/491.47 = 111.14/x
  3. Step 3: Cross multiply
    327.57x = 491.47 × 111.14
  4. Step 4: Simplify right side
    327.57x = 54,621.98
  5. Step 5: Solve for x
    x = 54,621.98/327.57
  6. Step 6: Final answer
    x = 166.75

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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.