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Finding the Fourth Proportional to 244.57, 367.02 and 197.05

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Solution

The fourth proportional to 244.57, 367.02 and 197.05 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.57 : 367.02 = 197.05 : x
  2. Step 2: Convert to fraction form
    244.57/367.02 = 197.05/x
  3. Step 3: Cross multiply
    244.57x = 367.02 × 197.05
  4. Step 4: Simplify right side
    244.57x = 72,321.29
  5. Step 5: Solve for x
    x = 72,321.29/244.57
  6. Step 6: Final answer
    x = 295.71

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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.