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Finding the Fourth Proportional to 195.47, 269.61 and 133.21

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Solution

The fourth proportional to 195.47, 269.61 and 133.21 is: 183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.47 : 269.61 = 133.21 : x
  2. Step 2: Convert to fraction form
    195.47/269.61 = 133.21/x
  3. Step 3: Cross multiply
    195.47x = 269.61 × 133.21
  4. Step 4: Simplify right side
    195.47x = 35,913.40
  5. Step 5: Solve for x
    x = 35,913.40/195.47
  6. Step 6: Final answer
    x = 183.73

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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.