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Finding the Fourth Proportional to 289.12, 433.14 and 197.56

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Solution

The fourth proportional to 289.12, 433.14 and 197.56 is: 295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 433.14 = 197.56 : x
  2. Step 2: Convert to fraction form
    289.12/433.14 = 197.56/x
  3. Step 3: Cross multiply
    289.12x = 433.14 × 197.56
  4. Step 4: Simplify right side
    289.12x = 85,571.14
  5. Step 5: Solve for x
    x = 85,571.14/289.12
  6. Step 6: Final answer
    x = 295.97

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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.