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Finding the Fourth Proportional to 182.67, 273.40 and 120.99

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Solution

The fourth proportional to 182.67, 273.40 and 120.99 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.67 : 273.40 = 120.99 : x
  2. Step 2: Convert to fraction form
    182.67/273.40 = 120.99/x
  3. Step 3: Cross multiply
    182.67x = 273.40 × 120.99
  4. Step 4: Simplify right side
    182.67x = 33,078.67
  5. Step 5: Solve for x
    x = 33,078.67/182.67
  6. Step 6: Final answer
    x = 181.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.