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Finding the Fourth Proportional to 194.78, 292.26 and 86.54

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Solution

The fourth proportional to 194.78, 292.26 and 86.54 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 292.26 = 86.54 : x
  2. Step 2: Convert to fraction form
    194.78/292.26 = 86.54/x
  3. Step 3: Cross multiply
    194.78x = 292.26 × 86.54
  4. Step 4: Simplify right side
    194.78x = 25,290.72
  5. Step 5: Solve for x
    x = 25,290.72/194.78
  6. Step 6: Final answer
    x = 129.85

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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.