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Finding the Fourth Proportional to 306.50, 422.84 and 201.62

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Solution

The fourth proportional to 306.50, 422.84 and 201.62 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 422.84 = 201.62 : x
  2. Step 2: Convert to fraction form
    306.50/422.84 = 201.62/x
  3. Step 3: Cross multiply
    306.50x = 422.84 × 201.62
  4. Step 4: Simplify right side
    306.50x = 85,254.56
  5. Step 5: Solve for x
    x = 85,254.56/306.50
  6. Step 6: Final answer
    x = 278.16

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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.