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Finding the Fourth Proportional to 262.02, 361.49 and 183.32

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Solution

The fourth proportional to 262.02, 361.49 and 183.32 is: 252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 361.49 = 183.32 : x
  2. Step 2: Convert to fraction form
    262.02/361.49 = 183.32/x
  3. Step 3: Cross multiply
    262.02x = 361.49 × 183.32
  4. Step 4: Simplify right side
    262.02x = 66,265.62
  5. Step 5: Solve for x
    x = 66,265.62/262.02
  6. Step 6: Final answer
    x = 252.90

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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.