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Finding the Fourth Proportional to 214.70, 321.78 and 205.62

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Solution

The fourth proportional to 214.70, 321.78 and 205.62 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 321.78 = 205.62 : x
  2. Step 2: Convert to fraction form
    214.70/321.78 = 205.62/x
  3. Step 3: Cross multiply
    214.70x = 321.78 × 205.62
  4. Step 4: Simplify right side
    214.70x = 66,164.40
  5. Step 5: Solve for x
    x = 66,164.40/214.70
  6. Step 6: Final answer
    x = 308.17

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Why These Related Problems?

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