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Finding the Fourth Proportional to 268.07, 369.05 and 231.02

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Solution

The fourth proportional to 268.07, 369.05 and 231.02 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.07 : 369.05 = 231.02 : x
  2. Step 2: Convert to fraction form
    268.07/369.05 = 231.02/x
  3. Step 3: Cross multiply
    268.07x = 369.05 × 231.02
  4. Step 4: Simplify right side
    268.07x = 85,256.78
  5. Step 5: Solve for x
    x = 85,256.78/268.07
  6. Step 6: Final answer
    x = 318.04

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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.