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Finding the Fourth Proportional to 211.27, 315.19 and 208.99

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Solution

The fourth proportional to 211.27, 315.19 and 208.99 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.27 : 315.19 = 208.99 : x
  2. Step 2: Convert to fraction form
    211.27/315.19 = 208.99/x
  3. Step 3: Cross multiply
    211.27x = 315.19 × 208.99
  4. Step 4: Simplify right side
    211.27x = 65,871.56
  5. Step 5: Solve for x
    x = 65,871.56/211.27
  6. Step 6: Final answer
    x = 311.79

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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.