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Finding the Fourth Proportional to 272.98, 408.93 and 214.93

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Solution

The fourth proportional to 272.98, 408.93 and 214.93 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.98 : 408.93 = 214.93 : x
  2. Step 2: Convert to fraction form
    272.98/408.93 = 214.93/x
  3. Step 3: Cross multiply
    272.98x = 408.93 × 214.93
  4. Step 4: Simplify right side
    272.98x = 87,891.32
  5. Step 5: Solve for x
    x = 87,891.32/272.98
  6. Step 6: Final answer
    x = 321.97

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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.