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Finding the Fourth Proportional to 244.26, 365.58 and 205.80

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Solution

The fourth proportional to 244.26, 365.58 and 205.80 is: 308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.26 : 365.58 = 205.80 : x
  2. Step 2: Convert to fraction form
    244.26/365.58 = 205.80/x
  3. Step 3: Cross multiply
    244.26x = 365.58 × 205.80
  4. Step 4: Simplify right side
    244.26x = 75,236.36
  5. Step 5: Solve for x
    x = 75,236.36/244.26
  6. Step 6: Final answer
    x = 308.02

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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.