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Finding the Fourth Proportional to 167.96, 250.54 and 164.30

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Solution

The fourth proportional to 167.96, 250.54 and 164.30 is: 245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 250.54 = 164.30 : x
  2. Step 2: Convert to fraction form
    167.96/250.54 = 164.30/x
  3. Step 3: Cross multiply
    167.96x = 250.54 × 164.30
  4. Step 4: Simplify right side
    167.96x = 41,163.72
  5. Step 5: Solve for x
    x = 41,163.72/167.96
  6. Step 6: Final answer
    x = 245.08

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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.