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Finding the Fourth Proportional to 230.82, 318.39 and 142.31

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Solution

The fourth proportional to 230.82, 318.39 and 142.31 is: 196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 318.39 = 142.31 : x
  2. Step 2: Convert to fraction form
    230.82/318.39 = 142.31/x
  3. Step 3: Cross multiply
    230.82x = 318.39 × 142.31
  4. Step 4: Simplify right side
    230.82x = 45,310.08
  5. Step 5: Solve for x
    x = 45,310.08/230.82
  6. Step 6: Final answer
    x = 196.30

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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.