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Finding the Fourth Proportional to 181.00, 270.06 and 163.72

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Solution

The fourth proportional to 181.00, 270.06 and 163.72 is: 244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.00 : 270.06 = 163.72 : x
  2. Step 2: Convert to fraction form
    181.00/270.06 = 163.72/x
  3. Step 3: Cross multiply
    181.00x = 270.06 × 163.72
  4. Step 4: Simplify right side
    181.00x = 44,212.87
  5. Step 5: Solve for x
    x = 44,212.87/181.00
  6. Step 6: Final answer
    x = 244.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.