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Finding the Fourth Proportional to 218.66, 301.73 and 120.38

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Solution

The fourth proportional to 218.66, 301.73 and 120.38 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.66 : 301.73 = 120.38 : x
  2. Step 2: Convert to fraction form
    218.66/301.73 = 120.38/x
  3. Step 3: Cross multiply
    218.66x = 301.73 × 120.38
  4. Step 4: Simplify right side
    218.66x = 36,320.15
  5. Step 5: Solve for x
    x = 36,320.15/218.66
  6. Step 6: Final answer
    x = 166.11

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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.