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Finding the Fourth Proportional to 297.45, 410.27 and 199.17

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Solution

The fourth proportional to 297.45, 410.27 and 199.17 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 410.27 = 199.17 : x
  2. Step 2: Convert to fraction form
    297.45/410.27 = 199.17/x
  3. Step 3: Cross multiply
    297.45x = 410.27 × 199.17
  4. Step 4: Simplify right side
    297.45x = 81,712.48
  5. Step 5: Solve for x
    x = 81,712.48/297.45
  6. Step 6: Final answer
    x = 274.71

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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.