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Finding the Fourth Proportional to 243.48, 337.78 and 231.60

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Solution

The fourth proportional to 243.48, 337.78 and 231.60 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.48 : 337.78 = 231.60 : x
  2. Step 2: Convert to fraction form
    243.48/337.78 = 231.60/x
  3. Step 3: Cross multiply
    243.48x = 337.78 × 231.60
  4. Step 4: Simplify right side
    243.48x = 78,229.85
  5. Step 5: Solve for x
    x = 78,229.85/243.48
  6. Step 6: Final answer
    x = 321.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.