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Finding the Fourth Proportional to 190.09, 262.17 and 165.49

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Solution

The fourth proportional to 190.09, 262.17 and 165.49 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 262.17 = 165.49 : x
  2. Step 2: Convert to fraction form
    190.09/262.17 = 165.49/x
  3. Step 3: Cross multiply
    190.09x = 262.17 × 165.49
  4. Step 4: Simplify right side
    190.09x = 43,385.86
  5. Step 5: Solve for x
    x = 43,385.86/190.09
  6. Step 6: Final answer
    x = 228.24

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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.