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Finding the Fourth Proportional to 262.21, 361.57 and 200.02

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Solution

The fourth proportional to 262.21, 361.57 and 200.02 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.21 : 361.57 = 200.02 : x
  2. Step 2: Convert to fraction form
    262.21/361.57 = 200.02/x
  3. Step 3: Cross multiply
    262.21x = 361.57 × 200.02
  4. Step 4: Simplify right side
    262.21x = 72,321.23
  5. Step 5: Solve for x
    x = 72,321.23/262.21
  6. Step 6: Final answer
    x = 275.81

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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.