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Finding the Fourth Proportional to 297.64, 446.73 and 160.84

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Solution

The fourth proportional to 297.64, 446.73 and 160.84 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 446.73 = 160.84 : x
  2. Step 2: Convert to fraction form
    297.64/446.73 = 160.84/x
  3. Step 3: Cross multiply
    297.64x = 446.73 × 160.84
  4. Step 4: Simplify right side
    297.64x = 71,852.05
  5. Step 5: Solve for x
    x = 71,852.05/297.64
  6. Step 6: Final answer
    x = 241.41

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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.