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Finding the Fourth Proportional to 179.95, 270.23 and 162.33

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Solution

The fourth proportional to 179.95, 270.23 and 162.33 is: 243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.95 : 270.23 = 162.33 : x
  2. Step 2: Convert to fraction form
    179.95/270.23 = 162.33/x
  3. Step 3: Cross multiply
    179.95x = 270.23 × 162.33
  4. Step 4: Simplify right side
    179.95x = 43,866.44
  5. Step 5: Solve for x
    x = 43,866.44/179.95
  6. Step 6: Final answer
    x = 243.77

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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.