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Finding the Fourth Proportional to 311.75, 430.27 and 201.32

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Solution

The fourth proportional to 311.75, 430.27 and 201.32 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 430.27 = 201.32 : x
  2. Step 2: Convert to fraction form
    311.75/430.27 = 201.32/x
  3. Step 3: Cross multiply
    311.75x = 430.27 × 201.32
  4. Step 4: Simplify right side
    311.75x = 86,619.81
  5. Step 5: Solve for x
    x = 86,619.81/311.75
  6. Step 6: Final answer
    x = 277.85

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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.