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Finding the Fourth Proportional to 286.37, 395.21 and 162.05

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Solution

The fourth proportional to 286.37, 395.21 and 162.05 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.37 : 395.21 = 162.05 : x
  2. Step 2: Convert to fraction form
    286.37/395.21 = 162.05/x
  3. Step 3: Cross multiply
    286.37x = 395.21 × 162.05
  4. Step 4: Simplify right side
    286.37x = 64,041.60
  5. Step 5: Solve for x
    x = 64,041.60/286.37
  6. Step 6: Final answer
    x = 223.64

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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.