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Finding the Fourth Proportional to 246.24, 367.79 and 205.69

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Solution

The fourth proportional to 246.24, 367.79 and 205.69 is: 307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.24 : 367.79 = 205.69 : x
  2. Step 2: Convert to fraction form
    246.24/367.79 = 205.69/x
  3. Step 3: Cross multiply
    246.24x = 367.79 × 205.69
  4. Step 4: Simplify right side
    246.24x = 75,650.62
  5. Step 5: Solve for x
    x = 75,650.62/246.24
  6. Step 6: Final answer
    x = 307.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.