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Finding the Fourth Proportional to 342.94, 513.66 and 214.42

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Solution

The fourth proportional to 342.94, 513.66 and 214.42 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 513.66 = 214.42 : x
  2. Step 2: Convert to fraction form
    342.94/513.66 = 214.42/x
  3. Step 3: Cross multiply
    342.94x = 513.66 × 214.42
  4. Step 4: Simplify right side
    342.94x = 110,138.98
  5. Step 5: Solve for x
    x = 110,138.98/342.94
  6. Step 6: Final answer
    x = 321.16

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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.