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Finding the Fourth Proportional to 229.45, 344.15 and 75.39

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Solution

The fourth proportional to 229.45, 344.15 and 75.39 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.45 : 344.15 = 75.39 : x
  2. Step 2: Convert to fraction form
    229.45/344.15 = 75.39/x
  3. Step 3: Cross multiply
    229.45x = 344.15 × 75.39
  4. Step 4: Simplify right side
    229.45x = 25,944.33
  5. Step 5: Solve for x
    x = 25,944.33/229.45
  6. Step 6: Final answer
    x = 113.07

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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.