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Finding the Fourth Proportional to 211.35, 315.41 and 197.42

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Solution

The fourth proportional to 211.35, 315.41 and 197.42 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.35 : 315.41 = 197.42 : x
  2. Step 2: Convert to fraction form
    211.35/315.41 = 197.42/x
  3. Step 3: Cross multiply
    211.35x = 315.41 × 197.42
  4. Step 4: Simplify right side
    211.35x = 62,269.52
  5. Step 5: Solve for x
    x = 62,269.52/211.35
  6. Step 6: Final answer
    x = 294.63

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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.