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Finding the Fourth Proportional to 182.87, 272.38 and 181.97

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Solution

The fourth proportional to 182.87, 272.38 and 181.97 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.87 : 272.38 = 181.97 : x
  2. Step 2: Convert to fraction form
    182.87/272.38 = 181.97/x
  3. Step 3: Cross multiply
    182.87x = 272.38 × 181.97
  4. Step 4: Simplify right side
    182.87x = 49,564.99
  5. Step 5: Solve for x
    x = 49,564.99/182.87
  6. Step 6: Final answer
    x = 271.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.