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Finding the Fourth Proportional to 289.26, 433.81 and 144.94

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Solution

The fourth proportional to 289.26, 433.81 and 144.94 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 433.81 = 144.94 : x
  2. Step 2: Convert to fraction form
    289.26/433.81 = 144.94/x
  3. Step 3: Cross multiply
    289.26x = 433.81 × 144.94
  4. Step 4: Simplify right side
    289.26x = 62,876.42
  5. Step 5: Solve for x
    x = 62,876.42/289.26
  6. Step 6: Final answer
    x = 217.37

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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.