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Finding the Fourth Proportional to 180.36, 270.06 and 149.83

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Solution

The fourth proportional to 180.36, 270.06 and 149.83 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.06 = 149.83 : x
  2. Step 2: Convert to fraction form
    180.36/270.06 = 149.83/x
  3. Step 3: Cross multiply
    180.36x = 270.06 × 149.83
  4. Step 4: Simplify right side
    180.36x = 40,460.99
  5. Step 5: Solve for x
    x = 40,460.99/180.36
  6. Step 6: Final answer
    x = 224.34

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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.