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Finding the Fourth Proportional to 213.27, 319.63 and 184.38

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Solution

The fourth proportional to 213.27, 319.63 and 184.38 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 319.63 = 184.38 : x
  2. Step 2: Convert to fraction form
    213.27/319.63 = 184.38/x
  3. Step 3: Cross multiply
    213.27x = 319.63 × 184.38
  4. Step 4: Simplify right side
    213.27x = 58,933.38
  5. Step 5: Solve for x
    x = 58,933.38/213.27
  6. Step 6: Final answer
    x = 276.33

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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.