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Finding the Fourth Proportional to 297.06, 445.24 and 160.03

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Solution

The fourth proportional to 297.06, 445.24 and 160.03 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 445.24 = 160.03 : x
  2. Step 2: Convert to fraction form
    297.06/445.24 = 160.03/x
  3. Step 3: Cross multiply
    297.06x = 445.24 × 160.03
  4. Step 4: Simplify right side
    297.06x = 71,251.76
  5. Step 5: Solve for x
    x = 71,251.76/297.06
  6. Step 6: Final answer
    x = 239.86

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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.