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Finding the Fourth Proportional to 214.38, 321.81 and 206.46

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Solution

The fourth proportional to 214.38, 321.81 and 206.46 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 321.81 = 206.46 : x
  2. Step 2: Convert to fraction form
    214.38/321.81 = 206.46/x
  3. Step 3: Cross multiply
    214.38x = 321.81 × 206.46
  4. Step 4: Simplify right side
    214.38x = 66,440.89
  5. Step 5: Solve for x
    x = 66,440.89/214.38
  6. Step 6: Final answer
    x = 309.92

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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.