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Finding the Fourth Proportional to 230.76, 343.98 and 213.48

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Solution

The fourth proportional to 230.76, 343.98 and 213.48 is: 318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 343.98 = 213.48 : x
  2. Step 2: Convert to fraction form
    230.76/343.98 = 213.48/x
  3. Step 3: Cross multiply
    230.76x = 343.98 × 213.48
  4. Step 4: Simplify right side
    230.76x = 73,432.85
  5. Step 5: Solve for x
    x = 73,432.85/230.76
  6. Step 6: Final answer
    x = 318.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.