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Finding the Fourth Proportional to 337.86, 506.85 and 106.71

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Solution

The fourth proportional to 337.86, 506.85 and 106.71 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.86 : 506.85 = 106.71 : x
  2. Step 2: Convert to fraction form
    337.86/506.85 = 106.71/x
  3. Step 3: Cross multiply
    337.86x = 506.85 × 106.71
  4. Step 4: Simplify right side
    337.86x = 54,085.96
  5. Step 5: Solve for x
    x = 54,085.96/337.86
  6. Step 6: Final answer
    x = 160.08

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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.