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Finding the Fourth Proportional to 337.47, 506.23 and 106.37

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Solution

The fourth proportional to 337.47, 506.23 and 106.37 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 506.23 = 106.37 : x
  2. Step 2: Convert to fraction form
    337.47/506.23 = 106.37/x
  3. Step 3: Cross multiply
    337.47x = 506.23 × 106.37
  4. Step 4: Simplify right side
    337.47x = 53,846.79
  5. Step 5: Solve for x
    x = 53,846.79/337.47
  6. Step 6: Final answer
    x = 159.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.