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Finding the Fourth Proportional to 297.22, 410.30 and 197.80

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Solution

The fourth proportional to 297.22, 410.30 and 197.80 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.22 : 410.30 = 197.80 : x
  2. Step 2: Convert to fraction form
    297.22/410.30 = 197.80/x
  3. Step 3: Cross multiply
    297.22x = 410.30 × 197.80
  4. Step 4: Simplify right side
    297.22x = 81,157.76
  5. Step 5: Solve for x
    x = 81,157.76/297.22
  6. Step 6: Final answer
    x = 273.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.