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Finding the Fourth Proportional to 195.81, 293.71 and 114.61

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Solution

The fourth proportional to 195.81, 293.71 and 114.61 is: 171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 293.71 = 114.61 : x
  2. Step 2: Convert to fraction form
    195.81/293.71 = 114.61/x
  3. Step 3: Cross multiply
    195.81x = 293.71 × 114.61
  4. Step 4: Simplify right side
    195.81x = 33,660.63
  5. Step 5: Solve for x
    x = 33,660.63/195.81
  6. Step 6: Final answer
    x = 171.91

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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.