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Finding the Fourth Proportional to 231.86, 344.80 and 224.56

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Solution

The fourth proportional to 231.86, 344.80 and 224.56 is: 333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 344.80 = 224.56 : x
  2. Step 2: Convert to fraction form
    231.86/344.80 = 224.56/x
  3. Step 3: Cross multiply
    231.86x = 344.80 × 224.56
  4. Step 4: Simplify right side
    231.86x = 77,428.13
  5. Step 5: Solve for x
    x = 77,428.13/231.86
  6. Step 6: Final answer
    x = 333.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.