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Finding the Fourth Proportional to 182.82, 250.31 and 181.06

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Solution

The fourth proportional to 182.82, 250.31 and 181.06 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 250.31 = 181.06 : x
  2. Step 2: Convert to fraction form
    182.82/250.31 = 181.06/x
  3. Step 3: Cross multiply
    182.82x = 250.31 × 181.06
  4. Step 4: Simplify right side
    182.82x = 45,320.22
  5. Step 5: Solve for x
    x = 45,320.22/182.82
  6. Step 6: Final answer
    x = 247.90

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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.