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Finding the Fourth Proportional to 213.92, 294.96 and 167.20

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Solution

The fourth proportional to 213.92, 294.96 and 167.20 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 294.96 = 167.20 : x
  2. Step 2: Convert to fraction form
    213.92/294.96 = 167.20/x
  3. Step 3: Cross multiply
    213.92x = 294.96 × 167.20
  4. Step 4: Simplify right side
    213.92x = 49,317.31
  5. Step 5: Solve for x
    x = 49,317.31/213.92
  6. Step 6: Final answer
    x = 230.54

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