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Finding the Fourth Proportional to 306.37, 422.63 and 201.35

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Solution

The fourth proportional to 306.37, 422.63 and 201.35 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.37 : 422.63 = 201.35 : x
  2. Step 2: Convert to fraction form
    306.37/422.63 = 201.35/x
  3. Step 3: Cross multiply
    306.37x = 422.63 × 201.35
  4. Step 4: Simplify right side
    306.37x = 85,095.86
  5. Step 5: Solve for x
    x = 85,095.86/306.37
  6. Step 6: Final answer
    x = 277.76

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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.