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Finding the Fourth Proportional to 195.83, 270.24 and 107.31

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Solution

The fourth proportional to 195.83, 270.24 and 107.31 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.83 : 270.24 = 107.31 : x
  2. Step 2: Convert to fraction form
    195.83/270.24 = 107.31/x
  3. Step 3: Cross multiply
    195.83x = 270.24 × 107.31
  4. Step 4: Simplify right side
    195.83x = 28,999.45
  5. Step 5: Solve for x
    x = 28,999.45/195.83
  6. Step 6: Final answer
    x = 148.08

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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.