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Finding the Fourth Proportional to 167.54, 250.02 and 163.08

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Solution

The fourth proportional to 167.54, 250.02 and 163.08 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 250.02 = 163.08 : x
  2. Step 2: Convert to fraction form
    167.54/250.02 = 163.08/x
  3. Step 3: Cross multiply
    167.54x = 250.02 × 163.08
  4. Step 4: Simplify right side
    167.54x = 40,773.26
  5. Step 5: Solve for x
    x = 40,773.26/167.54
  6. Step 6: Final answer
    x = 243.37

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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.