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Finding the Fourth Proportional to 190.27, 285.41 and 118.63

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Solution

The fourth proportional to 190.27, 285.41 and 118.63 is: 177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 285.41 = 118.63 : x
  2. Step 2: Convert to fraction form
    190.27/285.41 = 118.63/x
  3. Step 3: Cross multiply
    190.27x = 285.41 × 118.63
  4. Step 4: Simplify right side
    190.27x = 33,858.19
  5. Step 5: Solve for x
    x = 33,858.19/190.27
  6. Step 6: Final answer
    x = 177.95

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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.