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Finding the Fourth Proportional to 213.28, 319.99 and 104.99

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Solution

The fourth proportional to 213.28, 319.99 and 104.99 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 319.99 = 104.99 : x
  2. Step 2: Convert to fraction form
    213.28/319.99 = 104.99/x
  3. Step 3: Cross multiply
    213.28x = 319.99 × 104.99
  4. Step 4: Simplify right side
    213.28x = 33,596.29
  5. Step 5: Solve for x
    x = 33,596.29/213.28
  6. Step 6: Final answer
    x = 157.52

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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.