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Finding the Fourth Proportional to 181.96, 250.70 and 119.68

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Solution

The fourth proportional to 181.96, 250.70 and 119.68 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 250.70 = 119.68 : x
  2. Step 2: Convert to fraction form
    181.96/250.70 = 119.68/x
  3. Step 3: Cross multiply
    181.96x = 250.70 × 119.68
  4. Step 4: Simplify right side
    181.96x = 30,004.39
  5. Step 5: Solve for x
    x = 30,004.39/181.96
  6. Step 6: Final answer
    x = 164.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.