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Finding the Fourth Proportional to 185.28, 254.01 and 182.04

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Solution

The fourth proportional to 185.28, 254.01 and 182.04 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 254.01 = 182.04 : x
  2. Step 2: Convert to fraction form
    185.28/254.01 = 182.04/x
  3. Step 3: Cross multiply
    185.28x = 254.01 × 182.04
  4. Step 4: Simplify right side
    185.28x = 46,239.98
  5. Step 5: Solve for x
    x = 46,239.98/185.28
  6. Step 6: Final answer
    x = 249.57

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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.