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Finding the Fourth Proportional to 168.04, 251.75 and 145.07

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Solution

The fourth proportional to 168.04, 251.75 and 145.07 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 251.75 = 145.07 : x
  2. Step 2: Convert to fraction form
    168.04/251.75 = 145.07/x
  3. Step 3: Cross multiply
    168.04x = 251.75 × 145.07
  4. Step 4: Simplify right side
    168.04x = 36,520.48
  5. Step 5: Solve for x
    x = 36,520.48/168.04
  6. Step 6: Final answer
    x = 217.34

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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.