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Finding the Fourth Proportional to 197.78, 296.60 and 120.87

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Solution

The fourth proportional to 197.78, 296.60 and 120.87 is: 181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.60 = 120.87 : x
  2. Step 2: Convert to fraction form
    197.78/296.60 = 120.87/x
  3. Step 3: Cross multiply
    197.78x = 296.60 × 120.87
  4. Step 4: Simplify right side
    197.78x = 35,849.44
  5. Step 5: Solve for x
    x = 35,849.44/197.78
  6. Step 6: Final answer
    x = 181.26

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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.