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Finding the Fourth Proportional to 180.16, 269.73 and 163.08

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Solution

The fourth proportional to 180.16, 269.73 and 163.08 is: 244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 269.73 = 163.08 : x
  2. Step 2: Convert to fraction form
    180.16/269.73 = 163.08/x
  3. Step 3: Cross multiply
    180.16x = 269.73 × 163.08
  4. Step 4: Simplify right side
    180.16x = 43,986.22
  5. Step 5: Solve for x
    x = 43,986.22/180.16
  6. Step 6: Final answer
    x = 244.15

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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.