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Finding the Fourth Proportional to 213.91, 319.14 and 194.42

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Solution

The fourth proportional to 213.91, 319.14 and 194.42 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 319.14 = 194.42 : x
  2. Step 2: Convert to fraction form
    213.91/319.14 = 194.42/x
  3. Step 3: Cross multiply
    213.91x = 319.14 × 194.42
  4. Step 4: Simplify right side
    213.91x = 62,048.00
  5. Step 5: Solve for x
    x = 62,048.00/213.91
  6. Step 6: Final answer
    x = 290.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.