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Finding the Fourth Proportional to 167.13, 249.30 and 164.03

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Solution

The fourth proportional to 167.13, 249.30 and 164.03 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 249.30 = 164.03 : x
  2. Step 2: Convert to fraction form
    167.13/249.30 = 164.03/x
  3. Step 3: Cross multiply
    167.13x = 249.30 × 164.03
  4. Step 4: Simplify right side
    167.13x = 40,891.43
  5. Step 5: Solve for x
    x = 40,891.43/167.13
  6. Step 6: Final answer
    x = 244.67

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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.