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Finding the Fourth Proportional to 237.08, 356.22 and 206.68

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Solution

The fourth proportional to 237.08, 356.22 and 206.68 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.08 : 356.22 = 206.68 : x
  2. Step 2: Convert to fraction form
    237.08/356.22 = 206.68/x
  3. Step 3: Cross multiply
    237.08x = 356.22 × 206.68
  4. Step 4: Simplify right side
    237.08x = 73,623.55
  5. Step 5: Solve for x
    x = 73,623.55/237.08
  6. Step 6: Final answer
    x = 310.54

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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.