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Finding the Fourth Proportional to 211.81, 317.27 and 197.57

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Solution

The fourth proportional to 211.81, 317.27 and 197.57 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.81 : 317.27 = 197.57 : x
  2. Step 2: Convert to fraction form
    211.81/317.27 = 197.57/x
  3. Step 3: Cross multiply
    211.81x = 317.27 × 197.57
  4. Step 4: Simplify right side
    211.81x = 62,682.05
  5. Step 5: Solve for x
    x = 62,682.05/211.81
  6. Step 6: Final answer
    x = 295.94

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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.