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Finding the Fourth Proportional to 297.70, 446.86 and 167.82

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Solution

The fourth proportional to 297.70, 446.86 and 167.82 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 446.86 = 167.82 : x
  2. Step 2: Convert to fraction form
    297.70/446.86 = 167.82/x
  3. Step 3: Cross multiply
    297.70x = 446.86 × 167.82
  4. Step 4: Simplify right side
    297.70x = 74,992.05
  5. Step 5: Solve for x
    x = 74,992.05/297.70
  6. Step 6: Final answer
    x = 251.90

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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.