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Finding the Fourth Proportional to 218.36, 301.33 and 120.10

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Solution

The fourth proportional to 218.36, 301.33 and 120.10 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.36 : 301.33 = 120.10 : x
  2. Step 2: Convert to fraction form
    218.36/301.33 = 120.10/x
  3. Step 3: Cross multiply
    218.36x = 301.33 × 120.10
  4. Step 4: Simplify right side
    218.36x = 36,189.43
  5. Step 5: Solve for x
    x = 36,189.43/218.36
  6. Step 6: Final answer
    x = 165.73

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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.