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Finding the Fourth Proportional to 238.44, 352.74 and 238.44

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Solution

The fourth proportional to 238.44, 352.74 and 238.44 is: 352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.44 : 352.74 = 238.44 : x
  2. Step 2: Convert to fraction form
    238.44/352.74 = 238.44/x
  3. Step 3: Cross multiply
    238.44x = 352.74 × 238.44
  4. Step 4: Simplify right side
    238.44x = 84,107.33
  5. Step 5: Solve for x
    x = 84,107.33/238.44
  6. Step 6: Final answer
    x = 352.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.