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Finding the Fourth Proportional to 168, 232.02 and 129.30

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Solution

The fourth proportional to 168, 232.02 and 129.30 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168 : 232.02 = 129.30 : x
  2. Step 2: Convert to fraction form
    168/232.02 = 129.30/x
  3. Step 3: Cross multiply
    168x = 232.02 × 129.30
  4. Step 4: Simplify right side
    168x = 30,000.19
  5. Step 5: Solve for x
    x = 30,000.19/168
  6. Step 6: Final answer
    x = 178.57

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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.