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Finding the Fourth Proportional to 182.11, 251.41 and 123.19

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Solution

The fourth proportional to 182.11, 251.41 and 123.19 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 251.41 = 123.19 : x
  2. Step 2: Convert to fraction form
    182.11/251.41 = 123.19/x
  3. Step 3: Cross multiply
    182.11x = 251.41 × 123.19
  4. Step 4: Simplify right side
    182.11x = 30,971.20
  5. Step 5: Solve for x
    x = 30,971.20/182.11
  6. Step 6: Final answer
    x = 170.07

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