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Finding the Fourth Proportional to 237.92, 355.92 and 201.44

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Solution

The fourth proportional to 237.92, 355.92 and 201.44 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.92 : 355.92 = 201.44 : x
  2. Step 2: Convert to fraction form
    237.92/355.92 = 201.44/x
  3. Step 3: Cross multiply
    237.92x = 355.92 × 201.44
  4. Step 4: Simplify right side
    237.92x = 71,696.52
  5. Step 5: Solve for x
    x = 71,696.52/237.92
  6. Step 6: Final answer
    x = 301.35

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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.