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Finding the Fourth Proportional to 297.26, 410.37 and 192.41

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Solution

The fourth proportional to 297.26, 410.37 and 192.41 is: 265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 410.37 = 192.41 : x
  2. Step 2: Convert to fraction form
    297.26/410.37 = 192.41/x
  3. Step 3: Cross multiply
    297.26x = 410.37 × 192.41
  4. Step 4: Simplify right side
    297.26x = 78,957.24
  5. Step 5: Solve for x
    x = 78,957.24/297.26
  6. Step 6: Final answer
    x = 265.62

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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.