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Finding the Fourth Proportional to 323.23, 484.91 and 138.14

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Solution

The fourth proportional to 323.23, 484.91 and 138.14 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.23 : 484.91 = 138.14 : x
  2. Step 2: Convert to fraction form
    323.23/484.91 = 138.14/x
  3. Step 3: Cross multiply
    323.23x = 484.91 × 138.14
  4. Step 4: Simplify right side
    323.23x = 66,983.39
  5. Step 5: Solve for x
    x = 66,983.39/323.23
  6. Step 6: Final answer
    x = 207.23

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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.