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Finding the Fourth Proportional to 195.22, 269.50 and 142.70

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Solution

The fourth proportional to 195.22, 269.50 and 142.70 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 269.50 = 142.70 : x
  2. Step 2: Convert to fraction form
    195.22/269.50 = 142.70/x
  3. Step 3: Cross multiply
    195.22x = 269.50 × 142.70
  4. Step 4: Simplify right side
    195.22x = 38,458.50
  5. Step 5: Solve for x
    x = 38,458.50/195.22
  6. Step 6: Final answer
    x = 197.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.