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Finding the Fourth Proportional to 234.51, 321.89 and 224.48

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Solution

The fourth proportional to 234.51, 321.89 and 224.48 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.51 : 321.89 = 224.48 : x
  2. Step 2: Convert to fraction form
    234.51/321.89 = 224.48/x
  3. Step 3: Cross multiply
    234.51x = 321.89 × 224.48
  4. Step 4: Simplify right side
    234.51x = 72,257.55
  5. Step 5: Solve for x
    x = 72,257.55/234.51
  6. Step 6: Final answer
    x = 308.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.