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Finding the Fourth Proportional to 190.82, 263.16 and 149.37

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Solution

The fourth proportional to 190.82, 263.16 and 149.37 is: 206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 263.16 = 149.37 : x
  2. Step 2: Convert to fraction form
    190.82/263.16 = 149.37/x
  3. Step 3: Cross multiply
    190.82x = 263.16 × 149.37
  4. Step 4: Simplify right side
    190.82x = 39,308.21
  5. Step 5: Solve for x
    x = 39,308.21/190.82
  6. Step 6: Final answer
    x = 206.00

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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.