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Finding the Fourth Proportional to 268.14, 369.60 and 231.14

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Solution

The fourth proportional to 268.14, 369.60 and 231.14 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.14 : 369.60 = 231.14 : x
  2. Step 2: Convert to fraction form
    268.14/369.60 = 231.14/x
  3. Step 3: Cross multiply
    268.14x = 369.60 × 231.14
  4. Step 4: Simplify right side
    268.14x = 85,429.34
  5. Step 5: Solve for x
    x = 85,429.34/268.14
  6. Step 6: Final answer
    x = 318.60

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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.