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Finding the Fourth Proportional to 167.83, 249.69 and 164.75

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Solution

The fourth proportional to 167.83, 249.69 and 164.75 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.83 : 249.69 = 164.75 : x
  2. Step 2: Convert to fraction form
    167.83/249.69 = 164.75/x
  3. Step 3: Cross multiply
    167.83x = 249.69 × 164.75
  4. Step 4: Simplify right side
    167.83x = 41,135.80
  5. Step 5: Solve for x
    x = 41,135.80/167.83
  6. Step 6: Final answer
    x = 245.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.