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Finding the Fourth Proportional to 182.18, 251.42 and 119.14

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Solution

The fourth proportional to 182.18, 251.42 and 119.14 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 251.42 = 119.14 : x
  2. Step 2: Convert to fraction form
    182.18/251.42 = 119.14/x
  3. Step 3: Cross multiply
    182.18x = 251.42 × 119.14
  4. Step 4: Simplify right side
    182.18x = 29,954.18
  5. Step 5: Solve for x
    x = 29,954.18/182.18
  6. Step 6: Final answer
    x = 164.42

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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.