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Finding the Fourth Proportional to 229.46, 344.31 and 107.70

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Solution

The fourth proportional to 229.46, 344.31 and 107.70 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.46 : 344.31 = 107.70 : x
  2. Step 2: Convert to fraction form
    229.46/344.31 = 107.70/x
  3. Step 3: Cross multiply
    229.46x = 344.31 × 107.70
  4. Step 4: Simplify right side
    229.46x = 37,083.07
  5. Step 5: Solve for x
    x = 37,083.07/229.46
  6. Step 6: Final answer
    x = 161.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.