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Finding the Fourth Proportional to 229.52, 344.34 and 107.86

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Solution

The fourth proportional to 229.52, 344.34 and 107.86 is: 161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 344.34 = 107.86 : x
  2. Step 2: Convert to fraction form
    229.52/344.34 = 107.86/x
  3. Step 3: Cross multiply
    229.52x = 344.34 × 107.86
  4. Step 4: Simplify right side
    229.52x = 37,140.51
  5. Step 5: Solve for x
    x = 37,140.51/229.52
  6. Step 6: Final answer
    x = 161.82

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Why These Related Problems?

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