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Finding the Fourth Proportional to 229.54, 344.34 and 75.44

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Solution

The fourth proportional to 229.54, 344.34 and 75.44 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.54 : 344.34 = 75.44 : x
  2. Step 2: Convert to fraction form
    229.54/344.34 = 75.44/x
  3. Step 3: Cross multiply
    229.54x = 344.34 × 75.44
  4. Step 4: Simplify right side
    229.54x = 25,977.01
  5. Step 5: Solve for x
    x = 25,977.01/229.54
  6. Step 6: Final answer
    x = 113.17

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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.