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Finding the Fourth Proportional to 297.12, 409.70 and 198.90

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Solution

The fourth proportional to 297.12, 409.70 and 198.90 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 409.70 = 198.90 : x
  2. Step 2: Convert to fraction form
    297.12/409.70 = 198.90/x
  3. Step 3: Cross multiply
    297.12x = 409.70 × 198.90
  4. Step 4: Simplify right side
    297.12x = 81,489.33
  5. Step 5: Solve for x
    x = 81,489.33/297.12
  6. Step 6: Final answer
    x = 274.26

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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.