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Finding the Fourth Proportional to 297.20, 409.84 and 192.18

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Solution

The fourth proportional to 297.20, 409.84 and 192.18 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 409.84 = 192.18 : x
  2. Step 2: Convert to fraction form
    297.20/409.84 = 192.18/x
  3. Step 3: Cross multiply
    297.20x = 409.84 × 192.18
  4. Step 4: Simplify right side
    297.20x = 78,763.05
  5. Step 5: Solve for x
    x = 78,763.05/297.20
  6. Step 6: Final answer
    x = 265.02

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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.