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Finding the Fourth Proportional to 168.09, 233.03 and 164.75

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Solution

The fourth proportional to 168.09, 233.03 and 164.75 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.09 : 233.03 = 164.75 : x
  2. Step 2: Convert to fraction form
    168.09/233.03 = 164.75/x
  3. Step 3: Cross multiply
    168.09x = 233.03 × 164.75
  4. Step 4: Simplify right side
    168.09x = 38,389.70
  5. Step 5: Solve for x
    x = 38,389.70/168.09
  6. Step 6: Final answer
    x = 228.39

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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.