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Finding the Fourth Proportional to 297.87, 446.80 and 161.19

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Solution

The fourth proportional to 297.87, 446.80 and 161.19 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 446.80 = 161.19 : x
  2. Step 2: Convert to fraction form
    297.87/446.80 = 161.19/x
  3. Step 3: Cross multiply
    297.87x = 446.80 × 161.19
  4. Step 4: Simplify right side
    297.87x = 72,017.46
  5. Step 5: Solve for x
    x = 72,017.46/297.87
  6. Step 6: Final answer
    x = 241.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.