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Finding the Fourth Proportional to 181.19, 250.13 and 119.03

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Solution

The fourth proportional to 181.19, 250.13 and 119.03 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.19 : 250.13 = 119.03 : x
  2. Step 2: Convert to fraction form
    181.19/250.13 = 119.03/x
  3. Step 3: Cross multiply
    181.19x = 250.13 × 119.03
  4. Step 4: Simplify right side
    181.19x = 29,772.97
  5. Step 5: Solve for x
    x = 29,772.97/181.19
  6. Step 6: Final answer
    x = 164.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.