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Finding the Fourth Proportional to 194.14, 292.32 and 167.72

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Solution

The fourth proportional to 194.14, 292.32 and 167.72 is: 252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.14 : 292.32 = 167.72 : x
  2. Step 2: Convert to fraction form
    194.14/292.32 = 167.72/x
  3. Step 3: Cross multiply
    194.14x = 292.32 × 167.72
  4. Step 4: Simplify right side
    194.14x = 49,027.91
  5. Step 5: Solve for x
    x = 49,027.91/194.14
  6. Step 6: Final answer
    x = 252.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.