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Finding the Fourth Proportional to 168.19, 231.93 and 115.78

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Solution

The fourth proportional to 168.19, 231.93 and 115.78 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.19 : 231.93 = 115.78 : x
  2. Step 2: Convert to fraction form
    168.19/231.93 = 115.78/x
  3. Step 3: Cross multiply
    168.19x = 231.93 × 115.78
  4. Step 4: Simplify right side
    168.19x = 26,852.86
  5. Step 5: Solve for x
    x = 26,852.86/168.19
  6. Step 6: Final answer
    x = 159.66

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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.