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Finding the Fourth Proportional to 213.36, 319.24 and 206.56

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Solution

The fourth proportional to 213.36, 319.24 and 206.56 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 319.24 = 206.56 : x
  2. Step 2: Convert to fraction form
    213.36/319.24 = 206.56/x
  3. Step 3: Cross multiply
    213.36x = 319.24 × 206.56
  4. Step 4: Simplify right side
    213.36x = 65,942.21
  5. Step 5: Solve for x
    x = 65,942.21/213.36
  6. Step 6: Final answer
    x = 309.07

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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.