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Finding the Fourth Proportional to 253.62, 351.09 and 231.75

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Solution

The fourth proportional to 253.62, 351.09 and 231.75 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 351.09 = 231.75 : x
  2. Step 2: Convert to fraction form
    253.62/351.09 = 231.75/x
  3. Step 3: Cross multiply
    253.62x = 351.09 × 231.75
  4. Step 4: Simplify right side
    253.62x = 81,365.11
  5. Step 5: Solve for x
    x = 81,365.11/253.62
  6. Step 6: Final answer
    x = 320.82

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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.