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Finding the Fourth Proportional to 181.93, 251.04 and 108.23

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Solution

The fourth proportional to 181.93, 251.04 and 108.23 is: 149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.93 : 251.04 = 108.23 : x
  2. Step 2: Convert to fraction form
    181.93/251.04 = 108.23/x
  3. Step 3: Cross multiply
    181.93x = 251.04 × 108.23
  4. Step 4: Simplify right side
    181.93x = 27,170.06
  5. Step 5: Solve for x
    x = 27,170.06/181.93
  6. Step 6: Final answer
    x = 149.35

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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.