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Finding the Fourth Proportional to 230.54, 318.12 and 205.88

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Solution

The fourth proportional to 230.54, 318.12 and 205.88 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.54 : 318.12 = 205.88 : x
  2. Step 2: Convert to fraction form
    230.54/318.12 = 205.88/x
  3. Step 3: Cross multiply
    230.54x = 318.12 × 205.88
  4. Step 4: Simplify right side
    230.54x = 65,494.55
  5. Step 5: Solve for x
    x = 65,494.55/230.54
  6. Step 6: Final answer
    x = 284.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.