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Finding the Fourth Proportional to 311.75, 430.07 and 201.26

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Solution

The fourth proportional to 311.75, 430.07 and 201.26 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 430.07 = 201.26 : x
  2. Step 2: Convert to fraction form
    311.75/430.07 = 201.26/x
  3. Step 3: Cross multiply
    311.75x = 430.07 × 201.26
  4. Step 4: Simplify right side
    311.75x = 86,555.96
  5. Step 5: Solve for x
    x = 86,555.96/311.75
  6. Step 6: Final answer
    x = 277.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.