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Finding the Fourth Proportional to 215.89, 298.17 and 167.36

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Solution

The fourth proportional to 215.89, 298.17 and 167.36 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.89 : 298.17 = 167.36 : x
  2. Step 2: Convert to fraction form
    215.89/298.17 = 167.36/x
  3. Step 3: Cross multiply
    215.89x = 298.17 × 167.36
  4. Step 4: Simplify right side
    215.89x = 49,900.24
  5. Step 5: Solve for x
    x = 49,900.24/215.89
  6. Step 6: Final answer
    x = 231.14

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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.