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Finding the Fourth Proportional to 311.78, 430.06 and 201.33

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Solution

The fourth proportional to 311.78, 430.06 and 201.33 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 430.06 = 201.33 : x
  2. Step 2: Convert to fraction form
    311.78/430.06 = 201.33/x
  3. Step 3: Cross multiply
    311.78x = 430.06 × 201.33
  4. Step 4: Simplify right side
    311.78x = 86,582.97
  5. Step 5: Solve for x
    x = 86,582.97/311.78
  6. Step 6: Final answer
    x = 277.71

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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.