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Finding the Fourth Proportional to 181.44, 250.56 and 164.16

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Solution

The fourth proportional to 181.44, 250.56 and 164.16 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.44 : 250.56 = 164.16 : x
  2. Step 2: Convert to fraction form
    181.44/250.56 = 164.16/x
  3. Step 3: Cross multiply
    181.44x = 250.56 × 164.16
  4. Step 4: Simplify right side
    181.44x = 41,131.93
  5. Step 5: Solve for x
    x = 41,131.93/181.44
  6. Step 6: Final answer
    x = 226.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.