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Finding the Fourth Proportional to 229.50, 344.27 and 75.39

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Solution

The fourth proportional to 229.50, 344.27 and 75.39 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 344.27 = 75.39 : x
  2. Step 2: Convert to fraction form
    229.50/344.27 = 75.39/x
  3. Step 3: Cross multiply
    229.50x = 344.27 × 75.39
  4. Step 4: Simplify right side
    229.50x = 25,954.52
  5. Step 5: Solve for x
    x = 25,954.52/229.50
  6. Step 6: Final answer
    x = 113.09

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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.