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Finding the Fourth Proportional to 297.75, 446.40 and 160.77

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Solution

The fourth proportional to 297.75, 446.40 and 160.77 is: 241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 446.40 = 160.77 : x
  2. Step 2: Convert to fraction form
    297.75/446.40 = 160.77/x
  3. Step 3: Cross multiply
    297.75x = 446.40 × 160.77
  4. Step 4: Simplify right side
    297.75x = 71,767.73
  5. Step 5: Solve for x
    x = 71,767.73/297.75
  6. Step 6: Final answer
    x = 241.03

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Why These Related Problems?

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