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Finding the Fourth Proportional to 297.72, 410.99 and 199.54

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Solution

The fourth proportional to 297.72, 410.99 and 199.54 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.99 = 199.54 : x
  2. Step 2: Convert to fraction form
    297.72/410.99 = 199.54/x
  3. Step 3: Cross multiply
    297.72x = 410.99 × 199.54
  4. Step 4: Simplify right side
    297.72x = 82,008.94
  5. Step 5: Solve for x
    x = 82,008.94/297.72
  6. Step 6: Final answer
    x = 275.46

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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.