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Finding the Fourth Proportional to 196.19, 293.76 and 190.41

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Solution

The fourth proportional to 196.19, 293.76 and 190.41 is: 285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 293.76 = 190.41 : x
  2. Step 2: Convert to fraction form
    196.19/293.76 = 190.41/x
  3. Step 3: Cross multiply
    196.19x = 293.76 × 190.41
  4. Step 4: Simplify right side
    196.19x = 55,934.84
  5. Step 5: Solve for x
    x = 55,934.84/196.19
  6. Step 6: Final answer
    x = 285.11

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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.