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Finding the Fourth Proportional to 230.73, 318.43 and 137.49

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Solution

The fourth proportional to 230.73, 318.43 and 137.49 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.73 : 318.43 = 137.49 : x
  2. Step 2: Convert to fraction form
    230.73/318.43 = 137.49/x
  3. Step 3: Cross multiply
    230.73x = 318.43 × 137.49
  4. Step 4: Simplify right side
    230.73x = 43,780.94
  5. Step 5: Solve for x
    x = 43,780.94/230.73
  6. Step 6: Final answer
    x = 189.75

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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.