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Finding the Fourth Proportional to 297.55, 410.20 and 204.15

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Solution

The fourth proportional to 297.55, 410.20 and 204.15 is: 281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 410.20 = 204.15 : x
  2. Step 2: Convert to fraction form
    297.55/410.20 = 204.15/x
  3. Step 3: Cross multiply
    297.55x = 410.20 × 204.15
  4. Step 4: Simplify right side
    297.55x = 83,739.90
  5. Step 5: Solve for x
    x = 83,739.90/297.55
  6. Step 6: Final answer
    x = 281.43

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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.