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Finding the Fourth Proportional to 327.74, 491.46 and 111.26

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Solution

The fourth proportional to 327.74, 491.46 and 111.26 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 491.46 = 111.26 : x
  2. Step 2: Convert to fraction form
    327.74/491.46 = 111.26/x
  3. Step 3: Cross multiply
    327.74x = 491.46 × 111.26
  4. Step 4: Simplify right side
    327.74x = 54,679.84
  5. Step 5: Solve for x
    x = 54,679.84/327.74
  6. Step 6: Final answer
    x = 166.84

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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.