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Finding the Fourth Proportional to 190.22, 262.67 and 148.76

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Solution

The fourth proportional to 190.22, 262.67 and 148.76 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 262.67 = 148.76 : x
  2. Step 2: Convert to fraction form
    190.22/262.67 = 148.76/x
  3. Step 3: Cross multiply
    190.22x = 262.67 × 148.76
  4. Step 4: Simplify right side
    190.22x = 39,074.87
  5. Step 5: Solve for x
    x = 39,074.87/190.22
  6. Step 6: Final answer
    x = 205.42

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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.