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Finding the Fourth Proportional to 181.40, 248.92 and 164.96

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Solution

The fourth proportional to 181.40, 248.92 and 164.96 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 248.92 = 164.96 : x
  2. Step 2: Convert to fraction form
    181.40/248.92 = 164.96/x
  3. Step 3: Cross multiply
    181.40x = 248.92 × 164.96
  4. Step 4: Simplify right side
    181.40x = 41,061.84
  5. Step 5: Solve for x
    x = 41,061.84/181.40
  6. Step 6: Final answer
    x = 226.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.