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Finding the Fourth Proportional to 229.38, 344.01 and 107.52

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Solution

The fourth proportional to 229.38, 344.01 and 107.52 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 344.01 = 107.52 : x
  2. Step 2: Convert to fraction form
    229.38/344.01 = 107.52/x
  3. Step 3: Cross multiply
    229.38x = 344.01 × 107.52
  4. Step 4: Simplify right side
    229.38x = 36,986.46
  5. Step 5: Solve for x
    x = 36,986.46/229.38
  6. Step 6: Final answer
    x = 161.25

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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.