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Finding the Fourth Proportional to 181.48, 273.43 and 157.18

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Solution

The fourth proportional to 181.48, 273.43 and 157.18 is: 236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.48 : 273.43 = 157.18 : x
  2. Step 2: Convert to fraction form
    181.48/273.43 = 157.18/x
  3. Step 3: Cross multiply
    181.48x = 273.43 × 157.18
  4. Step 4: Simplify right side
    181.48x = 42,975.57
  5. Step 5: Solve for x
    x = 42,975.57/181.48
  6. Step 6: Final answer
    x = 236.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.