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Finding the Fourth Proportional to 197.85, 296.64 and 76.05

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Solution

The fourth proportional to 197.85, 296.64 and 76.05 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.85 : 296.64 = 76.05 : x
  2. Step 2: Convert to fraction form
    197.85/296.64 = 76.05/x
  3. Step 3: Cross multiply
    197.85x = 296.64 × 76.05
  4. Step 4: Simplify right side
    197.85x = 22,559.47
  5. Step 5: Solve for x
    x = 22,559.47/197.85
  6. Step 6: Final answer
    x = 114.02

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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.