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Finding the Fourth Proportional to 297.29, 445.70 and 167.20

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Solution

The fourth proportional to 297.29, 445.70 and 167.20 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.29 : 445.70 = 167.20 : x
  2. Step 2: Convert to fraction form
    297.29/445.70 = 167.20/x
  3. Step 3: Cross multiply
    297.29x = 445.70 × 167.20
  4. Step 4: Simplify right side
    297.29x = 74,520.34
  5. Step 5: Solve for x
    x = 74,520.34/297.29
  6. Step 6: Final answer
    x = 250.66

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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.