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Finding the Fourth Proportional to 185.66, 278.09 and 180.54

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Solution

The fourth proportional to 185.66, 278.09 and 180.54 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.66 : 278.09 = 180.54 : x
  2. Step 2: Convert to fraction form
    185.66/278.09 = 180.54/x
  3. Step 3: Cross multiply
    185.66x = 278.09 × 180.54
  4. Step 4: Simplify right side
    185.66x = 50,206.37
  5. Step 5: Solve for x
    x = 50,206.37/185.66
  6. Step 6: Final answer
    x = 270.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.