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Finding the Fourth Proportional to 181.42, 271.76 and 120.36

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Solution

The fourth proportional to 181.42, 271.76 and 120.36 is: 180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 271.76 = 120.36 : x
  2. Step 2: Convert to fraction form
    181.42/271.76 = 120.36/x
  3. Step 3: Cross multiply
    181.42x = 271.76 × 120.36
  4. Step 4: Simplify right side
    181.42x = 32,709.03
  5. Step 5: Solve for x
    x = 32,709.03/181.42
  6. Step 6: Final answer
    x = 180.29

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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.