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Finding the Fourth Proportional to 168.14, 233.18 and 151.94

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Solution

The fourth proportional to 168.14, 233.18 and 151.94 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 233.18 = 151.94 : x
  2. Step 2: Convert to fraction form
    168.14/233.18 = 151.94/x
  3. Step 3: Cross multiply
    168.14x = 233.18 × 151.94
  4. Step 4: Simplify right side
    168.14x = 35,429.37
  5. Step 5: Solve for x
    x = 35,429.37/168.14
  6. Step 6: Final answer
    x = 210.71

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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.