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Finding the Fourth Proportional to 327.68, 491.42 and 122.23

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Solution

The fourth proportional to 327.68, 491.42 and 122.23 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 491.42 = 122.23 : x
  2. Step 2: Convert to fraction form
    327.68/491.42 = 122.23/x
  3. Step 3: Cross multiply
    327.68x = 491.42 × 122.23
  4. Step 4: Simplify right side
    327.68x = 60,065.34
  5. Step 5: Solve for x
    x = 60,065.34/327.68
  6. Step 6: Final answer
    x = 183.31

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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.