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Finding the Fourth Proportional to 215.90, 298.22 and 167.39

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Solution

The fourth proportional to 215.90, 298.22 and 167.39 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 298.22 = 167.39 : x
  2. Step 2: Convert to fraction form
    215.90/298.22 = 167.39/x
  3. Step 3: Cross multiply
    215.90x = 298.22 × 167.39
  4. Step 4: Simplify right side
    215.90x = 49,919.05
  5. Step 5: Solve for x
    x = 49,919.05/215.90
  6. Step 6: Final answer
    x = 231.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.