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Finding the Fourth Proportional to 211.35, 291.78 and 198.27

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Solution

The fourth proportional to 211.35, 291.78 and 198.27 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.35 : 291.78 = 198.27 : x
  2. Step 2: Convert to fraction form
    211.35/291.78 = 198.27/x
  3. Step 3: Cross multiply
    211.35x = 291.78 × 198.27
  4. Step 4: Simplify right side
    211.35x = 57,851.22
  5. Step 5: Solve for x
    x = 57,851.22/211.35
  6. Step 6: Final answer
    x = 273.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.