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Finding the Fourth Proportional to 181.98, 273.24 and 109.89

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Solution

The fourth proportional to 181.98, 273.24 and 109.89 is: 165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 273.24 = 109.89 : x
  2. Step 2: Convert to fraction form
    181.98/273.24 = 109.89/x
  3. Step 3: Cross multiply
    181.98x = 273.24 × 109.89
  4. Step 4: Simplify right side
    181.98x = 30,026.34
  5. Step 5: Solve for x
    x = 30,026.34/181.98
  6. Step 6: Final answer
    x = 165.00

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