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Finding the Fourth Proportional to 197.77, 296.68 and 76.14

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Solution

The fourth proportional to 197.77, 296.68 and 76.14 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.77 : 296.68 = 76.14 : x
  2. Step 2: Convert to fraction form
    197.77/296.68 = 76.14/x
  3. Step 3: Cross multiply
    197.77x = 296.68 × 76.14
  4. Step 4: Simplify right side
    197.77x = 22,589.22
  5. Step 5: Solve for x
    x = 22,589.22/197.77
  6. Step 6: Final answer
    x = 114.22

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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.