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Finding the Fourth Proportional to 289.29, 433.97 and 197.76

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Solution

The fourth proportional to 289.29, 433.97 and 197.76 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.29 : 433.97 = 197.76 : x
  2. Step 2: Convert to fraction form
    289.29/433.97 = 197.76/x
  3. Step 3: Cross multiply
    289.29x = 433.97 × 197.76
  4. Step 4: Simplify right side
    289.29x = 85,821.91
  5. Step 5: Solve for x
    x = 85,821.91/289.29
  6. Step 6: Final answer
    x = 296.66

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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.