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Finding the Fourth Proportional to 181.70, 251.01 and 144.82

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Solution

The fourth proportional to 181.70, 251.01 and 144.82 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 251.01 = 144.82 : x
  2. Step 2: Convert to fraction form
    181.70/251.01 = 144.82/x
  3. Step 3: Cross multiply
    181.70x = 251.01 × 144.82
  4. Step 4: Simplify right side
    181.70x = 36,350.17
  5. Step 5: Solve for x
    x = 36,350.17/181.70
  6. Step 6: Final answer
    x = 200.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.