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Finding the Fourth Proportional to 190.66, 285.18 and 163.94

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Solution

The fourth proportional to 190.66, 285.18 and 163.94 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.66 : 285.18 = 163.94 : x
  2. Step 2: Convert to fraction form
    190.66/285.18 = 163.94/x
  3. Step 3: Cross multiply
    190.66x = 285.18 × 163.94
  4. Step 4: Simplify right side
    190.66x = 46,752.41
  5. Step 5: Solve for x
    x = 46,752.41/190.66
  6. Step 6: Final answer
    x = 245.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.