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Finding the Fourth Proportional to 181.84, 272.81 and 84.26

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Solution

The fourth proportional to 181.84, 272.81 and 84.26 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 272.81 = 84.26 : x
  2. Step 2: Convert to fraction form
    181.84/272.81 = 84.26/x
  3. Step 3: Cross multiply
    181.84x = 272.81 × 84.26
  4. Step 4: Simplify right side
    181.84x = 22,986.21
  5. Step 5: Solve for x
    x = 22,986.21/181.84
  6. Step 6: Final answer
    x = 126.41

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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.