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Finding the Fourth Proportional to 199.95, 300.06 and 181.59

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Solution

The fourth proportional to 199.95, 300.06 and 181.59 is: 272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.95 : 300.06 = 181.59 : x
  2. Step 2: Convert to fraction form
    199.95/300.06 = 181.59/x
  3. Step 3: Cross multiply
    199.95x = 300.06 × 181.59
  4. Step 4: Simplify right side
    199.95x = 54,487.90
  5. Step 5: Solve for x
    x = 54,487.90/199.95
  6. Step 6: Final answer
    x = 272.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.