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Finding the Fourth Proportional to 218.23, 301.14 and 119.96

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Solution

The fourth proportional to 218.23, 301.14 and 119.96 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.23 : 301.14 = 119.96 : x
  2. Step 2: Convert to fraction form
    218.23/301.14 = 119.96/x
  3. Step 3: Cross multiply
    218.23x = 301.14 × 119.96
  4. Step 4: Simplify right side
    218.23x = 36,126.41
  5. Step 5: Solve for x
    x = 36,126.41/218.23
  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.