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Finding the Fourth Proportional to 195.09, 292.60 and 97.56

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Solution

The fourth proportional to 195.09, 292.60 and 97.56 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 292.60 = 97.56 : x
  2. Step 2: Convert to fraction form
    195.09/292.60 = 97.56/x
  3. Step 3: Cross multiply
    195.09x = 292.60 × 97.56
  4. Step 4: Simplify right side
    195.09x = 28,545.32
  5. Step 5: Solve for x
    x = 28,545.32/195.09
  6. Step 6: Final answer
    x = 146.32

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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.