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Finding the Fourth Proportional to 297.31, 410.11 and 179.20

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Solution

The fourth proportional to 297.31, 410.11 and 179.20 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.31 : 410.11 = 179.20 : x
  2. Step 2: Convert to fraction form
    297.31/410.11 = 179.20/x
  3. Step 3: Cross multiply
    297.31x = 410.11 × 179.20
  4. Step 4: Simplify right side
    297.31x = 73,489.66
  5. Step 5: Solve for x
    x = 73,489.66/297.31
  6. Step 6: Final answer
    x = 247.19

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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.