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Finding the Fourth Proportional to 337.24, 506.01 and 174.83

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Solution

The fourth proportional to 337.24, 506.01 and 174.83 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.24 : 506.01 = 174.83 : x
  2. Step 2: Convert to fraction form
    337.24/506.01 = 174.83/x
  3. Step 3: Cross multiply
    337.24x = 506.01 × 174.83
  4. Step 4: Simplify right side
    337.24x = 88,465.73
  5. Step 5: Solve for x
    x = 88,465.73/337.24
  6. Step 6: Final answer
    x = 262.33

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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.