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Finding the Fourth Proportional to 323.37, 484.71 and 138.38

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Solution

The fourth proportional to 323.37, 484.71 and 138.38 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.37 : 484.71 = 138.38 : x
  2. Step 2: Convert to fraction form
    323.37/484.71 = 138.38/x
  3. Step 3: Cross multiply
    323.37x = 484.71 × 138.38
  4. Step 4: Simplify right side
    323.37x = 67,071.75
  5. Step 5: Solve for x
    x = 67,071.75/323.37
  6. Step 6: Final answer
    x = 207.41

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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.