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Finding the Fourth Proportional to 190, 262.24 and 111.36

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Solution

The fourth proportional to 190, 262.24 and 111.36 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 262.24 = 111.36 : x
  2. Step 2: Convert to fraction form
    190/262.24 = 111.36/x
  3. Step 3: Cross multiply
    190x = 262.24 × 111.36
  4. Step 4: Simplify right side
    190x = 29,203.05
  5. Step 5: Solve for x
    x = 29,203.05/190
  6. Step 6: Final answer
    x = 153.70

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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.