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Finding the Fourth Proportional to 213.75, 319.91 and 201.92

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Solution

The fourth proportional to 213.75, 319.91 and 201.92 is: 302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 319.91 = 201.92 : x
  2. Step 2: Convert to fraction form
    213.75/319.91 = 201.92/x
  3. Step 3: Cross multiply
    213.75x = 319.91 × 201.92
  4. Step 4: Simplify right side
    213.75x = 64,593.62
  5. Step 5: Solve for x
    x = 64,593.62/213.75
  6. Step 6: Final answer
    x = 302.19

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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.