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Finding the Fourth Proportional to 342.14, 513.41 and 205.31

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Solution

The fourth proportional to 342.14, 513.41 and 205.31 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 513.41 = 205.31 : x
  2. Step 2: Convert to fraction form
    342.14/513.41 = 205.31/x
  3. Step 3: Cross multiply
    342.14x = 513.41 × 205.31
  4. Step 4: Simplify right side
    342.14x = 105,408.46
  5. Step 5: Solve for x
    x = 105,408.46/342.14
  6. Step 6: Final answer
    x = 308.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.