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Finding the Fourth Proportional to 246.14, 370.24 and 205.13

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Solution

The fourth proportional to 246.14, 370.24 and 205.13 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.14 : 370.24 = 205.13 : x
  2. Step 2: Convert to fraction form
    246.14/370.24 = 205.13/x
  3. Step 3: Cross multiply
    246.14x = 370.24 × 205.13
  4. Step 4: Simplify right side
    246.14x = 75,947.74
  5. Step 5: Solve for x
    x = 75,947.74/246.14
  6. Step 6: Final answer
    x = 308.56

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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.