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Finding the Fourth Proportional to 185.67, 254.55 and 182.82

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Solution

The fourth proportional to 185.67, 254.55 and 182.82 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 254.55 = 182.82 : x
  2. Step 2: Convert to fraction form
    185.67/254.55 = 182.82/x
  3. Step 3: Cross multiply
    185.67x = 254.55 × 182.82
  4. Step 4: Simplify right side
    185.67x = 46,536.83
  5. Step 5: Solve for x
    x = 46,536.83/185.67
  6. Step 6: Final answer
    x = 250.64

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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.