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Finding the Fourth Proportional to 238.45, 326.60 and 224.44

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Solution

The fourth proportional to 238.45, 326.60 and 224.44 is: 307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.45 : 326.60 = 224.44 : x
  2. Step 2: Convert to fraction form
    238.45/326.60 = 224.44/x
  3. Step 3: Cross multiply
    238.45x = 326.60 × 224.44
  4. Step 4: Simplify right side
    238.45x = 73,301.29
  5. Step 5: Solve for x
    x = 73,301.29/238.45
  6. Step 6: Final answer
    x = 307.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.