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Finding the Fourth Proportional to 279.22, 418.83 and 214.64

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Solution

The fourth proportional to 279.22, 418.83 and 214.64 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.22 : 418.83 = 214.64 : x
  2. Step 2: Convert to fraction form
    279.22/418.83 = 214.64/x
  3. Step 3: Cross multiply
    279.22x = 418.83 × 214.64
  4. Step 4: Simplify right side
    279.22x = 89,897.26
  5. Step 5: Solve for x
    x = 89,897.26/279.22
  6. Step 6: Final answer
    x = 321.96

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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.