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Finding the Fourth Proportional to 195.69, 293.09 and 180.71

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Solution

The fourth proportional to 195.69, 293.09 and 180.71 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.69 : 293.09 = 180.71 : x
  2. Step 2: Convert to fraction form
    195.69/293.09 = 180.71/x
  3. Step 3: Cross multiply
    195.69x = 293.09 × 180.71
  4. Step 4: Simplify right side
    195.69x = 52,963.28
  5. Step 5: Solve for x
    x = 52,963.28/195.69
  6. Step 6: Final answer
    x = 270.65

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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.