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Finding the Fourth Proportional to 214.20, 321.09 and 136.94

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Solution

The fourth proportional to 214.20, 321.09 and 136.94 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 321.09 = 136.94 : x
  2. Step 2: Convert to fraction form
    214.20/321.09 = 136.94/x
  3. Step 3: Cross multiply
    214.20x = 321.09 × 136.94
  4. Step 4: Simplify right side
    214.20x = 43,969.38
  5. Step 5: Solve for x
    x = 43,969.38/214.20
  6. Step 6: Final answer
    x = 205.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.