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Finding the Fourth Proportional to 197.31, 295.75 and 120.06

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Solution

The fourth proportional to 197.31, 295.75 and 120.06 is: 179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 295.75 = 120.06 : x
  2. Step 2: Convert to fraction form
    197.31/295.75 = 120.06/x
  3. Step 3: Cross multiply
    197.31x = 295.75 × 120.06
  4. Step 4: Simplify right side
    197.31x = 35,507.75
  5. Step 5: Solve for x
    x = 35,507.75/197.31
  6. Step 6: Final answer
    x = 179.96

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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.