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Finding the Fourth Proportional to 185.32, 254.33 and 182.12

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Solution

The fourth proportional to 185.32, 254.33 and 182.12 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 254.33 = 182.12 : x
  2. Step 2: Convert to fraction form
    185.32/254.33 = 182.12/x
  3. Step 3: Cross multiply
    185.32x = 254.33 × 182.12
  4. Step 4: Simplify right side
    185.32x = 46,318.58
  5. Step 5: Solve for x
    x = 46,318.58/185.32
  6. Step 6: Final answer
    x = 249.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.