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Finding the Fourth Proportional to 181.90, 251.32 and 143.38

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Solution

The fourth proportional to 181.90, 251.32 and 143.38 is: 198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 251.32 = 143.38 : x
  2. Step 2: Convert to fraction form
    181.90/251.32 = 143.38/x
  3. Step 3: Cross multiply
    181.90x = 251.32 × 143.38
  4. Step 4: Simplify right side
    181.90x = 36,034.26
  5. Step 5: Solve for x
    x = 36,034.26/181.90
  6. Step 6: Final answer
    x = 198.10

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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.