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Finding the Fourth Proportional to 185.49, 255.62 and 180.93

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Solution

The fourth proportional to 185.49, 255.62 and 180.93 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 255.62 = 180.93 : x
  2. Step 2: Convert to fraction form
    185.49/255.62 = 180.93/x
  3. Step 3: Cross multiply
    185.49x = 255.62 × 180.93
  4. Step 4: Simplify right side
    185.49x = 46,250.74
  5. Step 5: Solve for x
    x = 46,250.74/185.49
  6. Step 6: Final answer
    x = 249.34

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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.