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Finding the Fourth Proportional to 297.62, 410.81 and 173.33

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Solution

The fourth proportional to 297.62, 410.81 and 173.33 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.62 : 410.81 = 173.33 : x
  2. Step 2: Convert to fraction form
    297.62/410.81 = 173.33/x
  3. Step 3: Cross multiply
    297.62x = 410.81 × 173.33
  4. Step 4: Simplify right side
    297.62x = 71,203.64
  5. Step 5: Solve for x
    x = 71,203.64/297.62
  6. Step 6: Final answer
    x = 239.25

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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.