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Finding the Fourth Proportional to 184.82, 253.65 and 181.62

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Solution

The fourth proportional to 184.82, 253.65 and 181.62 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.82 : 253.65 = 181.62 : x
  2. Step 2: Convert to fraction form
    184.82/253.65 = 181.62/x
  3. Step 3: Cross multiply
    184.82x = 253.65 × 181.62
  4. Step 4: Simplify right side
    184.82x = 46,067.00
  5. Step 5: Solve for x
    x = 46,067.00/184.82
  6. Step 6: Final answer
    x = 249.25

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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.