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Finding the Fourth Proportional to 190.95, 263.66 and 149.43

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Solution

The fourth proportional to 190.95, 263.66 and 149.43 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.95 : 263.66 = 149.43 : x
  2. Step 2: Convert to fraction form
    190.95/263.66 = 149.43/x
  3. Step 3: Cross multiply
    190.95x = 263.66 × 149.43
  4. Step 4: Simplify right side
    190.95x = 39,398.71
  5. Step 5: Solve for x
    x = 39,398.71/190.95
  6. Step 6: Final answer
    x = 206.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.