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Finding the Fourth Proportional to 190.44, 286.77 and 171.41

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Solution

The fourth proportional to 190.44, 286.77 and 171.41 is: 258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 286.77 = 171.41 : x
  2. Step 2: Convert to fraction form
    190.44/286.77 = 171.41/x
  3. Step 3: Cross multiply
    190.44x = 286.77 × 171.41
  4. Step 4: Simplify right side
    190.44x = 49,153.81
  5. Step 5: Solve for x
    x = 49,153.81/190.44
  6. Step 6: Final answer
    x = 258.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.