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Finding the Fourth Proportional to 319.10, 440.38 and 194.73

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Solution

The fourth proportional to 319.10, 440.38 and 194.73 is: 268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 440.38 = 194.73 : x
  2. Step 2: Convert to fraction form
    319.10/440.38 = 194.73/x
  3. Step 3: Cross multiply
    319.10x = 440.38 × 194.73
  4. Step 4: Simplify right side
    319.10x = 85,755.20
  5. Step 5: Solve for x
    x = 85,755.20/319.10
  6. Step 6: Final answer
    x = 268.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.