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Finding the Fourth Proportional to 199.68, 298.90 and 127.59

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Solution

The fourth proportional to 199.68, 298.90 and 127.59 is: 190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 298.90 = 127.59 : x
  2. Step 2: Convert to fraction form
    199.68/298.90 = 127.59/x
  3. Step 3: Cross multiply
    199.68x = 298.90 × 127.59
  4. Step 4: Simplify right side
    199.68x = 38,136.65
  5. Step 5: Solve for x
    x = 38,136.65/199.68
  6. Step 6: Final answer
    x = 190.99

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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.