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Finding the Fourth Proportional to 190.47, 262.89 and 111.78

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Solution

The fourth proportional to 190.47, 262.89 and 111.78 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 262.89 = 111.78 : x
  2. Step 2: Convert to fraction form
    190.47/262.89 = 111.78/x
  3. Step 3: Cross multiply
    190.47x = 262.89 × 111.78
  4. Step 4: Simplify right side
    190.47x = 29,385.84
  5. Step 5: Solve for x
    x = 29,385.84/190.47
  6. Step 6: Final answer
    x = 154.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.