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Finding the Fourth Proportional to 350.31, 525.09 and 167.38

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Solution

The fourth proportional to 350.31, 525.09 and 167.38 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.31 : 525.09 = 167.38 : x
  2. Step 2: Convert to fraction form
    350.31/525.09 = 167.38/x
  3. Step 3: Cross multiply
    350.31x = 525.09 × 167.38
  4. Step 4: Simplify right side
    350.31x = 87,889.56
  5. Step 5: Solve for x
    x = 87,889.56/350.31
  6. Step 6: Final answer
    x = 250.89

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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.