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Finding the Fourth Proportional to 262.09, 361.69 and 144.07

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Solution

The fourth proportional to 262.09, 361.69 and 144.07 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.09 : 361.69 = 144.07 : x
  2. Step 2: Convert to fraction form
    262.09/361.69 = 144.07/x
  3. Step 3: Cross multiply
    262.09x = 361.69 × 144.07
  4. Step 4: Simplify right side
    262.09x = 52,107.41
  5. Step 5: Solve for x
    x = 52,107.41/262.09
  6. Step 6: Final answer
    x = 198.82

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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.