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Finding the Fourth Proportional to 230.43, 318.46 and 188.92

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Solution

The fourth proportional to 230.43, 318.46 and 188.92 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.43 : 318.46 = 188.92 : x
  2. Step 2: Convert to fraction form
    230.43/318.46 = 188.92/x
  3. Step 3: Cross multiply
    230.43x = 318.46 × 188.92
  4. Step 4: Simplify right side
    230.43x = 60,163.46
  5. Step 5: Solve for x
    x = 60,163.46/230.43
  6. Step 6: Final answer
    x = 261.09

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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.