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Finding the Fourth Proportional to 337.74, 506.37 and 193.38

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Solution

The fourth proportional to 337.74, 506.37 and 193.38 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.74 : 506.37 = 193.38 : x
  2. Step 2: Convert to fraction form
    337.74/506.37 = 193.38/x
  3. Step 3: Cross multiply
    337.74x = 506.37 × 193.38
  4. Step 4: Simplify right side
    337.74x = 97,921.83
  5. Step 5: Solve for x
    x = 97,921.83/337.74
  6. Step 6: Final answer
    x = 289.93

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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.