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Finding the Fourth Proportional to 297.87, 410.92 and 192.98

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Solution

The fourth proportional to 297.87, 410.92 and 192.98 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 410.92 = 192.98 : x
  2. Step 2: Convert to fraction form
    297.87/410.92 = 192.98/x
  3. Step 3: Cross multiply
    297.87x = 410.92 × 192.98
  4. Step 4: Simplify right side
    297.87x = 79,296.80
  5. Step 5: Solve for x
    x = 79,296.80/297.87
  6. Step 6: Final answer
    x = 266.21

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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.