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Finding the Fourth Proportional to 190.68, 286.32 and 154.26

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Solution

The fourth proportional to 190.68, 286.32 and 154.26 is: 231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 286.32 = 154.26 : x
  2. Step 2: Convert to fraction form
    190.68/286.32 = 154.26/x
  3. Step 3: Cross multiply
    190.68x = 286.32 × 154.26
  4. Step 4: Simplify right side
    190.68x = 44,167.72
  5. Step 5: Solve for x
    x = 44,167.72/190.68
  6. Step 6: Final answer
    x = 231.63

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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.