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Finding the Fourth Proportional to 262.09, 361.68 and 144.06

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Solution

The fourth proportional to 262.09, 361.68 and 144.06 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.09 : 361.68 = 144.06 : x
  2. Step 2: Convert to fraction form
    262.09/361.68 = 144.06/x
  3. Step 3: Cross multiply
    262.09x = 361.68 × 144.06
  4. Step 4: Simplify right side
    262.09x = 52,103.62
  5. Step 5: Solve for x
    x = 52,103.62/262.09
  6. Step 6: Final answer
    x = 198.80

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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.