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Finding the Fourth Proportional to 297.64, 410.44 and 198.02

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Solution

The fourth proportional to 297.64, 410.44 and 198.02 is: 273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 410.44 = 198.02 : x
  2. Step 2: Convert to fraction form
    297.64/410.44 = 198.02/x
  3. Step 3: Cross multiply
    297.64x = 410.44 × 198.02
  4. Step 4: Simplify right side
    297.64x = 81,275.33
  5. Step 5: Solve for x
    x = 81,275.33/297.64
  6. Step 6: Final answer
    x = 273.07

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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.