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Finding the Fourth Proportional to 218.21, 301.13 and 119.96

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Solution

The fourth proportional to 218.21, 301.13 and 119.96 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.21 : 301.13 = 119.96 : x
  2. Step 2: Convert to fraction form
    218.21/301.13 = 119.96/x
  3. Step 3: Cross multiply
    218.21x = 301.13 × 119.96
  4. Step 4: Simplify right side
    218.21x = 36,122.35
  5. Step 5: Solve for x
    x = 36,122.35/218.21
  6. Step 6: Final answer
    x = 165.54

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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.