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Finding the Fourth Proportional to 337.14, 505.68 and 163.95

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Solution

The fourth proportional to 337.14, 505.68 and 163.95 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 505.68 = 163.95 : x
  2. Step 2: Convert to fraction form
    337.14/505.68 = 163.95/x
  3. Step 3: Cross multiply
    337.14x = 505.68 × 163.95
  4. Step 4: Simplify right side
    337.14x = 82,906.24
  5. Step 5: Solve for x
    x = 82,906.24/337.14
  6. Step 6: Final answer
    x = 245.91

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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.