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Finding the Fourth Proportional to 297.82, 410.96 and 173.50

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Solution

The fourth proportional to 297.82, 410.96 and 173.50 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 410.96 = 173.50 : x
  2. Step 2: Convert to fraction form
    297.82/410.96 = 173.50/x
  3. Step 3: Cross multiply
    297.82x = 410.96 × 173.50
  4. Step 4: Simplify right side
    297.82x = 71,301.56
  5. Step 5: Solve for x
    x = 71,301.56/297.82
  6. Step 6: Final answer
    x = 239.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.