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Finding the Fourth Proportional to 289.10, 433.22 and 198.38

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Solution

The fourth proportional to 289.10, 433.22 and 198.38 is: 297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 433.22 = 198.38 : x
  2. Step 2: Convert to fraction form
    289.10/433.22 = 198.38/x
  3. Step 3: Cross multiply
    289.10x = 433.22 × 198.38
  4. Step 4: Simplify right side
    289.10x = 85,942.18
  5. Step 5: Solve for x
    x = 85,942.18/289.10
  6. Step 6: Final answer
    x = 297.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.