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Finding the Fourth Proportional to 181.96, 272.58 and 120.91

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Solution

The fourth proportional to 181.96, 272.58 and 120.91 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 272.58 = 120.91 : x
  2. Step 2: Convert to fraction form
    181.96/272.58 = 120.91/x
  3. Step 3: Cross multiply
    181.96x = 272.58 × 120.91
  4. Step 4: Simplify right side
    181.96x = 32,957.65
  5. Step 5: Solve for x
    x = 32,957.65/181.96
  6. Step 6: Final answer
    x = 181.13

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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.