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Finding the Fourth Proportional to 195.91, 293.14 and 118.93

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Solution

The fourth proportional to 195.91, 293.14 and 118.93 is: 177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.91 : 293.14 = 118.93 : x
  2. Step 2: Convert to fraction form
    195.91/293.14 = 118.93/x
  3. Step 3: Cross multiply
    195.91x = 293.14 × 118.93
  4. Step 4: Simplify right side
    195.91x = 34,863.14
  5. Step 5: Solve for x
    x = 34,863.14/195.91
  6. Step 6: Final answer
    x = 177.95

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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.