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Finding the Fourth Proportional to 237.06, 352.50 and 227.34

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Solution

The fourth proportional to 237.06, 352.50 and 227.34 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 352.50 = 227.34 : x
  2. Step 2: Convert to fraction form
    237.06/352.50 = 227.34/x
  3. Step 3: Cross multiply
    237.06x = 352.50 × 227.34
  4. Step 4: Simplify right side
    237.06x = 80,137.35
  5. Step 5: Solve for x
    x = 80,137.35/237.06
  6. Step 6: Final answer
    x = 338.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.