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Finding the Fourth Proportional to 190.26, 262.49 and 148.82

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Solution

The fourth proportional to 190.26, 262.49 and 148.82 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 262.49 = 148.82 : x
  2. Step 2: Convert to fraction form
    190.26/262.49 = 148.82/x
  3. Step 3: Cross multiply
    190.26x = 262.49 × 148.82
  4. Step 4: Simplify right side
    190.26x = 39,061.71
  5. Step 5: Solve for x
    x = 39,061.71/190.26
  6. Step 6: Final answer
    x = 205.31

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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.