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Finding the Fourth Proportional to 289.17, 399.18 and 223.56

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Solution

The fourth proportional to 289.17, 399.18 and 223.56 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 399.18 = 223.56 : x
  2. Step 2: Convert to fraction form
    289.17/399.18 = 223.56/x
  3. Step 3: Cross multiply
    289.17x = 399.18 × 223.56
  4. Step 4: Simplify right side
    289.17x = 89,240.68
  5. Step 5: Solve for x
    x = 89,240.68/289.17
  6. Step 6: Final answer
    x = 308.61

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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.