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Finding the Fourth Proportional to 182.25, 251.40 and 120.09

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Solution

The fourth proportional to 182.25, 251.40 and 120.09 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.40 = 120.09 : x
  2. Step 2: Convert to fraction form
    182.25/251.40 = 120.09/x
  3. Step 3: Cross multiply
    182.25x = 251.40 × 120.09
  4. Step 4: Simplify right side
    182.25x = 30,190.63
  5. Step 5: Solve for x
    x = 30,190.63/182.25
  6. Step 6: Final answer
    x = 165.66

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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.