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Finding the Fourth Proportional to 190.17, 285.23 and 61.92

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Solution

The fourth proportional to 190.17, 285.23 and 61.92 is: 92.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.17 : 285.23 = 61.92 : x
  2. Step 2: Convert to fraction form
    190.17/285.23 = 61.92/x
  3. Step 3: Cross multiply
    190.17x = 285.23 × 61.92
  4. Step 4: Simplify right side
    190.17x = 17,661.13
  5. Step 5: Solve for x
    x = 17,661.13/190.17
  6. Step 6: Final answer
    x = 92.87

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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.