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Finding the Fourth Proportional to 253.62, 350.09 and 201.26

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Solution

The fourth proportional to 253.62, 350.09 and 201.26 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 350.09 = 201.26 : x
  2. Step 2: Convert to fraction form
    253.62/350.09 = 201.26/x
  3. Step 3: Cross multiply
    253.62x = 350.09 × 201.26
  4. Step 4: Simplify right side
    253.62x = 70,458.98
  5. Step 5: Solve for x
    x = 70,458.98/253.62
  6. Step 6: Final answer
    x = 277.81

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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.