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Finding the Fourth Proportional to 371.16, 512.07 and 238.37

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Solution

The fourth proportional to 371.16, 512.07 and 238.37 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 512.07 = 238.37 : x
  2. Step 2: Convert to fraction form
    371.16/512.07 = 238.37/x
  3. Step 3: Cross multiply
    371.16x = 512.07 × 238.37
  4. Step 4: Simplify right side
    371.16x = 122,059.57
  5. Step 5: Solve for x
    x = 122,059.57/371.16
  6. Step 6: Final answer
    x = 328.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.