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Finding the Fourth Proportional to 337.97, 506.14 and 193.25

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Solution

The fourth proportional to 337.97, 506.14 and 193.25 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 506.14 = 193.25 : x
  2. Step 2: Convert to fraction form
    337.97/506.14 = 193.25/x
  3. Step 3: Cross multiply
    337.97x = 506.14 × 193.25
  4. Step 4: Simplify right side
    337.97x = 97,811.56
  5. Step 5: Solve for x
    x = 97,811.56/337.97
  6. Step 6: Final answer
    x = 289.41

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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.