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Finding the Fourth Proportional to 306.86, 422.96 and 201.74

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Solution

The fourth proportional to 306.86, 422.96 and 201.74 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.86 : 422.96 = 201.74 : x
  2. Step 2: Convert to fraction form
    306.86/422.96 = 201.74/x
  3. Step 3: Cross multiply
    306.86x = 422.96 × 201.74
  4. Step 4: Simplify right side
    306.86x = 85,324.83
  5. Step 5: Solve for x
    x = 85,324.83/306.86
  6. Step 6: Final answer
    x = 278.06

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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.