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Finding the Fourth Proportional to 195.90, 270.34 and 113.00

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Solution

The fourth proportional to 195.90, 270.34 and 113.00 is: 155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 270.34 = 113.00 : x
  2. Step 2: Convert to fraction form
    195.90/270.34 = 113.00/x
  3. Step 3: Cross multiply
    195.90x = 270.34 × 113.00
  4. Step 4: Simplify right side
    195.90x = 30,546.79
  5. Step 5: Solve for x
    x = 30,546.79/195.90
  6. Step 6: Final answer
    x = 155.93

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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.