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Finding the Fourth Proportional to 297.95, 410.99 and 199.71

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Solution

The fourth proportional to 297.95, 410.99 and 199.71 is: 275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 410.99 = 199.71 : x
  2. Step 2: Convert to fraction form
    297.95/410.99 = 199.71/x
  3. Step 3: Cross multiply
    297.95x = 410.99 × 199.71
  4. Step 4: Simplify right side
    297.95x = 82,077.81
  5. Step 5: Solve for x
    x = 82,077.81/297.95
  6. Step 6: Final answer
    x = 275.48

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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.