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Finding the Fourth Proportional to 237.03, 326.96 and 149.55

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Solution

The fourth proportional to 237.03, 326.96 and 149.55 is: 206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.03 : 326.96 = 149.55 : x
  2. Step 2: Convert to fraction form
    237.03/326.96 = 149.55/x
  3. Step 3: Cross multiply
    237.03x = 326.96 × 149.55
  4. Step 4: Simplify right side
    237.03x = 48,896.87
  5. Step 5: Solve for x
    x = 48,896.87/237.03
  6. Step 6: Final answer
    x = 206.29

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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.