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Finding the Fourth Proportional to 246.10, 369.11 and 107.19

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Solution

The fourth proportional to 246.10, 369.11 and 107.19 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.10 : 369.11 = 107.19 : x
  2. Step 2: Convert to fraction form
    246.10/369.11 = 107.19/x
  3. Step 3: Cross multiply
    246.10x = 369.11 × 107.19
  4. Step 4: Simplify right side
    246.10x = 39,564.90
  5. Step 5: Solve for x
    x = 39,564.90/246.10
  6. Step 6: Final answer
    x = 160.77

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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.