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Finding the Fourth Proportional to 168.78, 232.77 and 145.70

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Solution

The fourth proportional to 168.78, 232.77 and 145.70 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 232.77 = 145.70 : x
  2. Step 2: Convert to fraction form
    168.78/232.77 = 145.70/x
  3. Step 3: Cross multiply
    168.78x = 232.77 × 145.70
  4. Step 4: Simplify right side
    168.78x = 33,914.84
  5. Step 5: Solve for x
    x = 33,914.84/168.78
  6. Step 6: Final answer
    x = 200.94

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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.