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Finding the Fourth Proportional to 182.26, 251.72 and 123.15

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Solution

The fourth proportional to 182.26, 251.72 and 123.15 is: 170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.26 : 251.72 = 123.15 : x
  2. Step 2: Convert to fraction form
    182.26/251.72 = 123.15/x
  3. Step 3: Cross multiply
    182.26x = 251.72 × 123.15
  4. Step 4: Simplify right side
    182.26x = 30,999.63
  5. Step 5: Solve for x
    x = 30,999.63/182.26
  6. Step 6: Final answer
    x = 170.09

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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.