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Finding the Fourth Proportional to 181.98, 251.25 and 139.89

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Solution

The fourth proportional to 181.98, 251.25 and 139.89 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 251.25 = 139.89 : x
  2. Step 2: Convert to fraction form
    181.98/251.25 = 139.89/x
  3. Step 3: Cross multiply
    181.98x = 251.25 × 139.89
  4. Step 4: Simplify right side
    181.98x = 35,147.36
  5. Step 5: Solve for x
    x = 35,147.36/181.98
  6. Step 6: Final answer
    x = 193.14

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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.