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Finding the Fourth Proportional to 181.29, 249.95 and 144.38

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Solution

The fourth proportional to 181.29, 249.95 and 144.38 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.29 : 249.95 = 144.38 : x
  2. Step 2: Convert to fraction form
    181.29/249.95 = 144.38/x
  3. Step 3: Cross multiply
    181.29x = 249.95 × 144.38
  4. Step 4: Simplify right side
    181.29x = 36,087.06
  5. Step 5: Solve for x
    x = 36,087.06/181.29
  6. Step 6: Final answer
    x = 199.06

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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.