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Finding the Fourth Proportional to 168.54, 232.79 and 152.94

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Solution

The fourth proportional to 168.54, 232.79 and 152.94 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.54 : 232.79 = 152.94 : x
  2. Step 2: Convert to fraction form
    168.54/232.79 = 152.94/x
  3. Step 3: Cross multiply
    168.54x = 232.79 × 152.94
  4. Step 4: Simplify right side
    168.54x = 35,603.87
  5. Step 5: Solve for x
    x = 35,603.87/168.54
  6. Step 6: Final answer
    x = 211.25

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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.