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Finding the Fourth Proportional to 229.45, 344.07 and 107.65

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Solution

The fourth proportional to 229.45, 344.07 and 107.65 is: 161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.45 : 344.07 = 107.65 : x
  2. Step 2: Convert to fraction form
    229.45/344.07 = 107.65/x
  3. Step 3: Cross multiply
    229.45x = 344.07 × 107.65
  4. Step 4: Simplify right side
    229.45x = 37,038.60
  5. Step 5: Solve for x
    x = 37,038.60/229.45
  6. Step 6: Final answer
    x = 161.42

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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.