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Finding the Fourth Proportional to 218.46, 301.46 and 120.20

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Solution

The fourth proportional to 218.46, 301.46 and 120.20 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.46 : 301.46 = 120.20 : x
  2. Step 2: Convert to fraction form
    218.46/301.46 = 120.20/x
  3. Step 3: Cross multiply
    218.46x = 301.46 × 120.20
  4. Step 4: Simplify right side
    218.46x = 36,236.55
  5. Step 5: Solve for x
    x = 36,236.55/218.46
  6. Step 6: Final answer
    x = 165.87

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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.