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Finding the Fourth Proportional to 168.16, 233.02 and 164.38

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Solution

The fourth proportional to 168.16, 233.02 and 164.38 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 233.02 = 164.38 : x
  2. Step 2: Convert to fraction form
    168.16/233.02 = 164.38/x
  3. Step 3: Cross multiply
    168.16x = 233.02 × 164.38
  4. Step 4: Simplify right side
    168.16x = 38,303.83
  5. Step 5: Solve for x
    x = 38,303.83/168.16
  6. Step 6: Final answer
    x = 227.78

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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.