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Finding the Fourth Proportional to 190.29, 262.60 and 107.40

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Solution

The fourth proportional to 190.29, 262.60 and 107.40 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.29 : 262.60 = 107.40 : x
  2. Step 2: Convert to fraction form
    190.29/262.60 = 107.40/x
  3. Step 3: Cross multiply
    190.29x = 262.60 × 107.40
  4. Step 4: Simplify right side
    190.29x = 28,203.24
  5. Step 5: Solve for x
    x = 28,203.24/190.29
  6. Step 6: Final answer
    x = 148.21

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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.