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Finding the Fourth Proportional to 181.55, 272.09 and 135.54

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Solution

The fourth proportional to 181.55, 272.09 and 135.54 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.55 : 272.09 = 135.54 : x
  2. Step 2: Convert to fraction form
    181.55/272.09 = 135.54/x
  3. Step 3: Cross multiply
    181.55x = 272.09 × 135.54
  4. Step 4: Simplify right side
    181.55x = 36,879.42
  5. Step 5: Solve for x
    x = 36,879.42/181.55
  6. Step 6: Final answer
    x = 203.13

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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.