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Finding the Fourth Proportional to 211.17, 290.61 and 198.42

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Solution

The fourth proportional to 211.17, 290.61 and 198.42 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 290.61 = 198.42 : x
  2. Step 2: Convert to fraction form
    211.17/290.61 = 198.42/x
  3. Step 3: Cross multiply
    211.17x = 290.61 × 198.42
  4. Step 4: Simplify right side
    211.17x = 57,662.84
  5. Step 5: Solve for x
    x = 57,662.84/211.17
  6. Step 6: Final answer
    x = 273.06

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