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Finding the Fourth Proportional to 297.62, 410.68 and 173.24

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Solution

The fourth proportional to 297.62, 410.68 and 173.24 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.62 : 410.68 = 173.24 : x
  2. Step 2: Convert to fraction form
    297.62/410.68 = 173.24/x
  3. Step 3: Cross multiply
    297.62x = 410.68 × 173.24
  4. Step 4: Simplify right side
    297.62x = 71,146.20
  5. Step 5: Solve for x
    x = 71,146.20/297.62
  6. Step 6: Final answer
    x = 239.05

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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.