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Finding the Fourth Proportional to 195.89, 270.32 and 112.99

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Solution

The fourth proportional to 195.89, 270.32 and 112.99 is: 155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.89 : 270.32 = 112.99 : x
  2. Step 2: Convert to fraction form
    195.89/270.32 = 112.99/x
  3. Step 3: Cross multiply
    195.89x = 270.32 × 112.99
  4. Step 4: Simplify right side
    195.89x = 30,544.08
  5. Step 5: Solve for x
    x = 30,544.08/195.89
  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.