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Finding the Fourth Proportional to 297.72, 446.15 and 167.44

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Solution

The fourth proportional to 297.72, 446.15 and 167.44 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 446.15 = 167.44 : x
  2. Step 2: Convert to fraction form
    297.72/446.15 = 167.44/x
  3. Step 3: Cross multiply
    297.72x = 446.15 × 167.44
  4. Step 4: Simplify right side
    297.72x = 74,705.03
  5. Step 5: Solve for x
    x = 74,705.03/297.72
  6. Step 6: Final answer
    x = 250.93

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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.