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Finding the Fourth Proportional to 262.09, 361.67 and 144.05

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Solution

The fourth proportional to 262.09, 361.67 and 144.05 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.09 : 361.67 = 144.05 : x
  2. Step 2: Convert to fraction form
    262.09/361.67 = 144.05/x
  3. Step 3: Cross multiply
    262.09x = 361.67 × 144.05
  4. Step 4: Simplify right side
    262.09x = 52,096.03
  5. Step 5: Solve for x
    x = 52,096.03/262.09
  6. Step 6: Final answer
    x = 198.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.