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Finding the Fourth Proportional to 194.48, 293.21 and 181.27

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Solution

The fourth proportional to 194.48, 293.21 and 181.27 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 293.21 = 181.27 : x
  2. Step 2: Convert to fraction form
    194.48/293.21 = 181.27/x
  3. Step 3: Cross multiply
    194.48x = 293.21 × 181.27
  4. Step 4: Simplify right side
    194.48x = 53,150.18
  5. Step 5: Solve for x
    x = 53,150.18/194.48
  6. Step 6: Final answer
    x = 273.29

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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.