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Finding the Fourth Proportional to 218.21, 301.06 and 197.42

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Solution

The fourth proportional to 218.21, 301.06 and 197.42 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.21 : 301.06 = 197.42 : x
  2. Step 2: Convert to fraction form
    218.21/301.06 = 197.42/x
  3. Step 3: Cross multiply
    218.21x = 301.06 × 197.42
  4. Step 4: Simplify right side
    218.21x = 59,435.27
  5. Step 5: Solve for x
    x = 59,435.27/218.21
  6. Step 6: Final answer
    x = 272.38

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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.