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Finding the Fourth Proportional to 181.75, 272.73 and 96.25

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Solution

The fourth proportional to 181.75, 272.73 and 96.25 is: 144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.75 : 272.73 = 96.25 : x
  2. Step 2: Convert to fraction form
    181.75/272.73 = 96.25/x
  3. Step 3: Cross multiply
    181.75x = 272.73 × 96.25
  4. Step 4: Simplify right side
    181.75x = 26,250.26
  5. Step 5: Solve for x
    x = 26,250.26/181.75
  6. Step 6: Final answer
    x = 144.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.