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Finding the Fourth Proportional to 246.26, 368.96 and 205.62

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Solution

The fourth proportional to 246.26, 368.96 and 205.62 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.26 : 368.96 = 205.62 : x
  2. Step 2: Convert to fraction form
    246.26/368.96 = 205.62/x
  3. Step 3: Cross multiply
    246.26x = 368.96 × 205.62
  4. Step 4: Simplify right side
    246.26x = 75,864.53
  5. Step 5: Solve for x
    x = 75,864.53/246.26
  6. Step 6: Final answer
    x = 308.07

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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.