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Finding the Fourth Proportional to 181.21, 249.66 and 125.14

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Solution

The fourth proportional to 181.21, 249.66 and 125.14 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 249.66 = 125.14 : x
  2. Step 2: Convert to fraction form
    181.21/249.66 = 125.14/x
  3. Step 3: Cross multiply
    181.21x = 249.66 × 125.14
  4. Step 4: Simplify right side
    181.21x = 31,242.45
  5. Step 5: Solve for x
    x = 31,242.45/181.21
  6. Step 6: Final answer
    x = 172.41

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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.