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Finding the Fourth Proportional to 218.93, 301.19 and 212.85

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Solution

The fourth proportional to 218.93, 301.19 and 212.85 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.93 : 301.19 = 212.85 : x
  2. Step 2: Convert to fraction form
    218.93/301.19 = 212.85/x
  3. Step 3: Cross multiply
    218.93x = 301.19 × 212.85
  4. Step 4: Simplify right side
    218.93x = 64,107.23
  5. Step 5: Solve for x
    x = 64,107.23/218.93
  6. Step 6: Final answer
    x = 292.83

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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.