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Finding the Fourth Proportional to 289.99, 400.21 and 163.99

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Solution

The fourth proportional to 289.99, 400.21 and 163.99 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 400.21 = 163.99 : x
  2. Step 2: Convert to fraction form
    289.99/400.21 = 163.99/x
  3. Step 3: Cross multiply
    289.99x = 400.21 × 163.99
  4. Step 4: Simplify right side
    289.99x = 65,627.62
  5. Step 5: Solve for x
    x = 65,627.62/289.99
  6. Step 6: Final answer
    x = 226.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.