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Finding the Fourth Proportional to 230.82, 344.52 and 212.52

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Solution

The fourth proportional to 230.82, 344.52 and 212.52 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 344.52 = 212.52 : x
  2. Step 2: Convert to fraction form
    230.82/344.52 = 212.52/x
  3. Step 3: Cross multiply
    230.82x = 344.52 × 212.52
  4. Step 4: Simplify right side
    230.82x = 73,217.39
  5. Step 5: Solve for x
    x = 73,217.39/230.82
  6. Step 6: Final answer
    x = 317.21

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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.