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Finding the Fourth Proportional to 289.03, 433.76 and 197.82

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Solution

The fourth proportional to 289.03, 433.76 and 197.82 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.03 : 433.76 = 197.82 : x
  2. Step 2: Convert to fraction form
    289.03/433.76 = 197.82/x
  3. Step 3: Cross multiply
    289.03x = 433.76 × 197.82
  4. Step 4: Simplify right side
    289.03x = 85,806.40
  5. Step 5: Solve for x
    x = 85,806.40/289.03
  6. Step 6: Final answer
    x = 296.88

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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.