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Finding the Fourth Proportional to 168.08, 231.36 and 144.72

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Solution

The fourth proportional to 168.08, 231.36 and 144.72 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 231.36 = 144.72 : x
  2. Step 2: Convert to fraction form
    168.08/231.36 = 144.72/x
  3. Step 3: Cross multiply
    168.08x = 231.36 × 144.72
  4. Step 4: Simplify right side
    168.08x = 33,482.42
  5. Step 5: Solve for x
    x = 33,482.42/168.08
  6. Step 6: Final answer
    x = 199.21

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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.