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Finding the Fourth Proportional to 342.12, 513.87 and 205.43

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Solution

The fourth proportional to 342.12, 513.87 and 205.43 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 513.87 = 205.43 : x
  2. Step 2: Convert to fraction form
    342.12/513.87 = 205.43/x
  3. Step 3: Cross multiply
    342.12x = 513.87 × 205.43
  4. Step 4: Simplify right side
    342.12x = 105,561.74
  5. Step 5: Solve for x
    x = 105,561.74/342.12
  6. Step 6: Final answer
    x = 308.55

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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.