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Finding the Fourth Proportional to 181.62, 250.72 and 119.48

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Solution

The fourth proportional to 181.62, 250.72 and 119.48 is: 164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 250.72 = 119.48 : x
  2. Step 2: Convert to fraction form
    181.62/250.72 = 119.48/x
  3. Step 3: Cross multiply
    181.62x = 250.72 × 119.48
  4. Step 4: Simplify right side
    181.62x = 29,956.35
  5. Step 5: Solve for x
    x = 29,956.35/181.62
  6. Step 6: Final answer
    x = 164.94

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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.