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Finding the Fourth Proportional to 197.82, 296.82 and 156.78

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Solution

The fourth proportional to 197.82, 296.82 and 156.78 is: 235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 296.82 = 156.78 : x
  2. Step 2: Convert to fraction form
    197.82/296.82 = 156.78/x
  3. Step 3: Cross multiply
    197.82x = 296.82 × 156.78
  4. Step 4: Simplify right side
    197.82x = 46,535.44
  5. Step 5: Solve for x
    x = 46,535.44/197.82
  6. Step 6: Final answer
    x = 235.24

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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.