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Finding the Fourth Proportional to 195.72, 269.80 and 130.20

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Solution

The fourth proportional to 195.72, 269.80 and 130.20 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 269.80 = 130.20 : x
  2. Step 2: Convert to fraction form
    195.72/269.80 = 130.20/x
  3. Step 3: Cross multiply
    195.72x = 269.80 × 130.20
  4. Step 4: Simplify right side
    195.72x = 35,127.96
  5. Step 5: Solve for x
    x = 35,127.96/195.72
  6. Step 6: Final answer
    x = 179.48

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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.