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Finding the Fourth Proportional to 197.93, 296.83 and 76.23

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Solution

The fourth proportional to 197.93, 296.83 and 76.23 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.93 : 296.83 = 76.23 : x
  2. Step 2: Convert to fraction form
    197.93/296.83 = 76.23/x
  3. Step 3: Cross multiply
    197.93x = 296.83 × 76.23
  4. Step 4: Simplify right side
    197.93x = 22,627.35
  5. Step 5: Solve for x
    x = 22,627.35/197.93
  6. Step 6: Final answer
    x = 114.32

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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.