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Finding the Fourth Proportional to 168.04, 251.14 and 122.08

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Solution

The fourth proportional to 168.04, 251.14 and 122.08 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 251.14 = 122.08 : x
  2. Step 2: Convert to fraction form
    168.04/251.14 = 122.08/x
  3. Step 3: Cross multiply
    168.04x = 251.14 × 122.08
  4. Step 4: Simplify right side
    168.04x = 30,659.17
  5. Step 5: Solve for x
    x = 30,659.17/168.04
  6. Step 6: Final answer
    x = 182.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.