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Finding the Fourth Proportional to 167.50, 250.92 and 102.34

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Solution

The fourth proportional to 167.50, 250.92 and 102.34 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.50 : 250.92 = 102.34 : x
  2. Step 2: Convert to fraction form
    167.50/250.92 = 102.34/x
  3. Step 3: Cross multiply
    167.50x = 250.92 × 102.34
  4. Step 4: Simplify right side
    167.50x = 25,679.15
  5. Step 5: Solve for x
    x = 25,679.15/167.50
  6. Step 6: Final answer
    x = 153.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.