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Finding the Fourth Proportional to 185.52, 255.97 and 120.06

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Solution

The fourth proportional to 185.52, 255.97 and 120.06 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 255.97 = 120.06 : x
  2. Step 2: Convert to fraction form
    185.52/255.97 = 120.06/x
  3. Step 3: Cross multiply
    185.52x = 255.97 × 120.06
  4. Step 4: Simplify right side
    185.52x = 30,731.16
  5. Step 5: Solve for x
    x = 30,731.16/185.52
  6. Step 6: Final answer
    x = 165.65

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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.