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Finding the Fourth Proportional to 195.08, 292.48 and 97.60

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Solution

The fourth proportional to 195.08, 292.48 and 97.60 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 292.48 = 97.60 : x
  2. Step 2: Convert to fraction form
    195.08/292.48 = 97.60/x
  3. Step 3: Cross multiply
    195.08x = 292.48 × 97.60
  4. Step 4: Simplify right side
    195.08x = 28,546.05
  5. Step 5: Solve for x
    x = 28,546.05/195.08
  6. Step 6: Final answer
    x = 146.33

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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.