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Finding the Fourth Proportional to 300.05, 414.06 and 162.05

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Solution

The fourth proportional to 300.05, 414.06 and 162.05 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 414.06 = 162.05 : x
  2. Step 2: Convert to fraction form
    300.05/414.06 = 162.05/x
  3. Step 3: Cross multiply
    300.05x = 414.06 × 162.05
  4. Step 4: Simplify right side
    300.05x = 67,097.89
  5. Step 5: Solve for x
    x = 67,097.89/300.05
  6. Step 6: Final answer
    x = 223.62

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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.