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Finding the Fourth Proportional to 182.75, 250.02 and 181.98

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Solution

The fourth proportional to 182.75, 250.02 and 181.98 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.75 : 250.02 = 181.98 : x
  2. Step 2: Convert to fraction form
    182.75/250.02 = 181.98/x
  3. Step 3: Cross multiply
    182.75x = 250.02 × 181.98
  4. Step 4: Simplify right side
    182.75x = 45,498.64
  5. Step 5: Solve for x
    x = 45,498.64/182.75
  6. Step 6: Final answer
    x = 248.97

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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.