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Finding the Fourth Proportional to 181.60, 272.70 and 180.18

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Solution

The fourth proportional to 181.60, 272.70 and 180.18 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.60 : 272.70 = 180.18 : x
  2. Step 2: Convert to fraction form
    181.60/272.70 = 180.18/x
  3. Step 3: Cross multiply
    181.60x = 272.70 × 180.18
  4. Step 4: Simplify right side
    181.60x = 49,135.09
  5. Step 5: Solve for x
    x = 49,135.09/181.60
  6. Step 6: Final answer
    x = 270.57

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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.