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Finding the Fourth Proportional to 289.42, 433.35 and 198.29

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Solution

The fourth proportional to 289.42, 433.35 and 198.29 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 433.35 = 198.29 : x
  2. Step 2: Convert to fraction form
    289.42/433.35 = 198.29/x
  3. Step 3: Cross multiply
    289.42x = 433.35 × 198.29
  4. Step 4: Simplify right side
    289.42x = 85,930.05
  5. Step 5: Solve for x
    x = 85,930.05/289.42
  6. Step 6: Final answer
    x = 296.91

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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.