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Finding the Fourth Proportional to 197.86, 296.44 and 180.71

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Solution

The fourth proportional to 197.86, 296.44 and 180.71 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 296.44 = 180.71 : x
  2. Step 2: Convert to fraction form
    197.86/296.44 = 180.71/x
  3. Step 3: Cross multiply
    197.86x = 296.44 × 180.71
  4. Step 4: Simplify right side
    197.86x = 53,569.67
  5. Step 5: Solve for x
    x = 53,569.67/197.86
  6. Step 6: Final answer
    x = 270.75

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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.