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Finding the Fourth Proportional to 195.26, 292.66 and 97.80

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Solution

The fourth proportional to 195.26, 292.66 and 97.80 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.26 : 292.66 = 97.80 : x
  2. Step 2: Convert to fraction form
    195.26/292.66 = 97.80/x
  3. Step 3: Cross multiply
    195.26x = 292.66 × 97.80
  4. Step 4: Simplify right side
    195.26x = 28,622.15
  5. Step 5: Solve for x
    x = 28,622.15/195.26
  6. Step 6: Final answer
    x = 146.58

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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.