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Finding the Fourth Proportional to 337.57, 506.04 and 183.27

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Solution

The fourth proportional to 337.57, 506.04 and 183.27 is: 274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.57 : 506.04 = 183.27 : x
  2. Step 2: Convert to fraction form
    337.57/506.04 = 183.27/x
  3. Step 3: Cross multiply
    337.57x = 506.04 × 183.27
  4. Step 4: Simplify right side
    337.57x = 92,741.95
  5. Step 5: Solve for x
    x = 92,741.95/337.57
  6. Step 6: Final answer
    x = 274.73

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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.