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Finding the Fourth Proportional to 181.84, 273.16 and 109.75

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Solution

The fourth proportional to 181.84, 273.16 and 109.75 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 273.16 = 109.75 : x
  2. Step 2: Convert to fraction form
    181.84/273.16 = 109.75/x
  3. Step 3: Cross multiply
    181.84x = 273.16 × 109.75
  4. Step 4: Simplify right side
    181.84x = 29,977.40
  5. Step 5: Solve for x
    x = 29,977.40/181.84
  6. Step 6: Final answer
    x = 164.86

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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.