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Finding the Fourth Proportional to 230.24, 318.43 and 205.64

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Solution

The fourth proportional to 230.24, 318.43 and 205.64 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 318.43 = 205.64 : x
  2. Step 2: Convert to fraction form
    230.24/318.43 = 205.64/x
  3. Step 3: Cross multiply
    230.24x = 318.43 × 205.64
  4. Step 4: Simplify right side
    230.24x = 65,481.95
  5. Step 5: Solve for x
    x = 65,481.95/230.24
  6. Step 6: Final answer
    x = 284.41

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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.