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Finding the Fourth Proportional to 305.30, 421.44 and 218.09

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Solution

The fourth proportional to 305.30, 421.44 and 218.09 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.30 : 421.44 = 218.09 : x
  2. Step 2: Convert to fraction form
    305.30/421.44 = 218.09/x
  3. Step 3: Cross multiply
    305.30x = 421.44 × 218.09
  4. Step 4: Simplify right side
    305.30x = 91,911.85
  5. Step 5: Solve for x
    x = 91,911.85/305.30
  6. Step 6: Final answer
    x = 301.05

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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.