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Finding the Fourth Proportional to 231.71, 344.84 and 223.07

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Solution

The fourth proportional to 231.71, 344.84 and 223.07 is: 331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.71 : 344.84 = 223.07 : x
  2. Step 2: Convert to fraction form
    231.71/344.84 = 223.07/x
  3. Step 3: Cross multiply
    231.71x = 344.84 × 223.07
  4. Step 4: Simplify right side
    231.71x = 76,922.34
  5. Step 5: Solve for x
    x = 76,922.34/231.71
  6. Step 6: Final answer
    x = 331.98

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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.