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Finding the Fourth Proportional to 286.45, 395.30 and 170.05

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Solution

The fourth proportional to 286.45, 395.30 and 170.05 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.45 : 395.30 = 170.05 : x
  2. Step 2: Convert to fraction form
    286.45/395.30 = 170.05/x
  3. Step 3: Cross multiply
    286.45x = 395.30 × 170.05
  4. Step 4: Simplify right side
    286.45x = 67,219.91
  5. Step 5: Solve for x
    x = 67,219.91/286.45
  6. Step 6: Final answer
    x = 234.67

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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.