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Finding the Fourth Proportional to 185.36, 256.83 and 182.12

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Solution

The fourth proportional to 185.36, 256.83 and 182.12 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.36 : 256.83 = 182.12 : x
  2. Step 2: Convert to fraction form
    185.36/256.83 = 182.12/x
  3. Step 3: Cross multiply
    185.36x = 256.83 × 182.12
  4. Step 4: Simplify right side
    185.36x = 46,773.88
  5. Step 5: Solve for x
    x = 46,773.88/185.36
  6. Step 6: Final answer
    x = 252.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.