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Finding the Fourth Proportional to 181.78, 272.40 and 181.60

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Solution

The fourth proportional to 181.78, 272.40 and 181.60 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 272.40 = 181.60 : x
  2. Step 2: Convert to fraction form
    181.78/272.40 = 181.60/x
  3. Step 3: Cross multiply
    181.78x = 272.40 × 181.60
  4. Step 4: Simplify right side
    181.78x = 49,467.84
  5. Step 5: Solve for x
    x = 49,467.84/181.78
  6. Step 6: Final answer
    x = 272.13

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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.