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Finding the Fourth Proportional to 246.17, 369.27 and 109.14

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Solution

The fourth proportional to 246.17, 369.27 and 109.14 is: 163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.17 : 369.27 = 109.14 : x
  2. Step 2: Convert to fraction form
    246.17/369.27 = 109.14/x
  3. Step 3: Cross multiply
    246.17x = 369.27 × 109.14
  4. Step 4: Simplify right side
    246.17x = 40,300.28
  5. Step 5: Solve for x
    x = 40,300.28/246.17
  6. Step 6: Final answer
    x = 163.71

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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.