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Finding the Fourth Proportional to 181.26, 271.38 and 123.36

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Solution

The fourth proportional to 181.26, 271.38 and 123.36 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 271.38 = 123.36 : x
  2. Step 2: Convert to fraction form
    181.26/271.38 = 123.36/x
  3. Step 3: Cross multiply
    181.26x = 271.38 × 123.36
  4. Step 4: Simplify right side
    181.26x = 33,477.44
  5. Step 5: Solve for x
    x = 33,477.44/181.26
  6. Step 6: Final answer
    x = 184.69

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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.