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Finding the Fourth Proportional to 262.38, 361.95 and 183.86

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Solution

The fourth proportional to 262.38, 361.95 and 183.86 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 361.95 = 183.86 : x
  2. Step 2: Convert to fraction form
    262.38/361.95 = 183.86/x
  3. Step 3: Cross multiply
    262.38x = 361.95 × 183.86
  4. Step 4: Simplify right side
    262.38x = 66,548.13
  5. Step 5: Solve for x
    x = 66,548.13/262.38
  6. Step 6: Final answer
    x = 253.63

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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.