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Finding the Fourth Proportional to 168.87, 253.43 and 168.06

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Solution

The fourth proportional to 168.87, 253.43 and 168.06 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.87 : 253.43 = 168.06 : x
  2. Step 2: Convert to fraction form
    168.87/253.43 = 168.06/x
  3. Step 3: Cross multiply
    168.87x = 253.43 × 168.06
  4. Step 4: Simplify right side
    168.87x = 42,591.45
  5. Step 5: Solve for x
    x = 42,591.45/168.87
  6. Step 6: Final answer
    x = 252.21

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