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Finding the Fourth Proportional to 181.74, 272.08 and 120.75

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Solution

The fourth proportional to 181.74, 272.08 and 120.75 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 272.08 = 120.75 : x
  2. Step 2: Convert to fraction form
    181.74/272.08 = 120.75/x
  3. Step 3: Cross multiply
    181.74x = 272.08 × 120.75
  4. Step 4: Simplify right side
    181.74x = 32,853.66
  5. Step 5: Solve for x
    x = 32,853.66/181.74
  6. Step 6: Final answer
    x = 180.77

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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.