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Finding the Fourth Proportional to 195.86, 293.81 and 93.13

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Solution

The fourth proportional to 195.86, 293.81 and 93.13 is: 139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 293.81 = 93.13 : x
  2. Step 2: Convert to fraction form
    195.86/293.81 = 93.13/x
  3. Step 3: Cross multiply
    195.86x = 293.81 × 93.13
  4. Step 4: Simplify right side
    195.86x = 27,361.33
  5. Step 5: Solve for x
    x = 27,361.33/195.86
  6. Step 6: Final answer
    x = 139.70

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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.