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Finding the Fourth Proportional to 168.54, 233.58 and 160.62

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Solution

The fourth proportional to 168.54, 233.58 and 160.62 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.54 : 233.58 = 160.62 : x
  2. Step 2: Convert to fraction form
    168.54/233.58 = 160.62/x
  3. Step 3: Cross multiply
    168.54x = 233.58 × 160.62
  4. Step 4: Simplify right side
    168.54x = 37,517.62
  5. Step 5: Solve for x
    x = 37,517.62/168.54
  6. Step 6: Final answer
    x = 222.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.