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Finding the Fourth Proportional to 194.54, 292.25 and 121.64

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Solution

The fourth proportional to 194.54, 292.25 and 121.64 is: 182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.54 : 292.25 = 121.64 : x
  2. Step 2: Convert to fraction form
    194.54/292.25 = 121.64/x
  3. Step 3: Cross multiply
    194.54x = 292.25 × 121.64
  4. Step 4: Simplify right side
    194.54x = 35,548.13
  5. Step 5: Solve for x
    x = 35,548.13/194.54
  6. Step 6: Final answer
    x = 182.73

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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.