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Finding the Fourth Proportional to 181.38, 271.83 and 135.36

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Solution

The fourth proportional to 181.38, 271.83 and 135.36 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 271.83 = 135.36 : x
  2. Step 2: Convert to fraction form
    181.38/271.83 = 135.36/x
  3. Step 3: Cross multiply
    181.38x = 271.83 × 135.36
  4. Step 4: Simplify right side
    181.38x = 36,794.91
  5. Step 5: Solve for x
    x = 36,794.91/181.38
  6. Step 6: Final answer
    x = 202.86

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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.