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Finding the Fourth Proportional to 297.37, 446.11 and 167.32

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Solution

The fourth proportional to 297.37, 446.11 and 167.32 is: 251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.37 : 446.11 = 167.32 : x
  2. Step 2: Convert to fraction form
    297.37/446.11 = 167.32/x
  3. Step 3: Cross multiply
    297.37x = 446.11 × 167.32
  4. Step 4: Simplify right side
    297.37x = 74,640.76
  5. Step 5: Solve for x
    x = 74,640.76/297.37
  6. Step 6: Final answer
    x = 251.00

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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.