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Finding the Fourth Proportional to 297.72, 446.34 and 160.83

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Solution

The fourth proportional to 297.72, 446.34 and 160.83 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 446.34 = 160.83 : x
  2. Step 2: Convert to fraction form
    297.72/446.34 = 160.83/x
  3. Step 3: Cross multiply
    297.72x = 446.34 × 160.83
  4. Step 4: Simplify right side
    297.72x = 71,784.86
  5. Step 5: Solve for x
    x = 71,784.86/297.72
  6. Step 6: Final answer
    x = 241.12

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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.