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Finding the Fourth Proportional to 197.89, 296.31 and 174.82

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Solution

The fourth proportional to 197.89, 296.31 and 174.82 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.89 : 296.31 = 174.82 : x
  2. Step 2: Convert to fraction form
    197.89/296.31 = 174.82/x
  3. Step 3: Cross multiply
    197.89x = 296.31 × 174.82
  4. Step 4: Simplify right side
    197.89x = 51,800.91
  5. Step 5: Solve for x
    x = 51,800.91/197.89
  6. Step 6: Final answer
    x = 261.77

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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.