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Finding the Fourth Proportional to 195.87, 294.05 and 119.06

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Solution

The fourth proportional to 195.87, 294.05 and 119.06 is: 178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.87 : 294.05 = 119.06 : x
  2. Step 2: Convert to fraction form
    195.87/294.05 = 119.06/x
  3. Step 3: Cross multiply
    195.87x = 294.05 × 119.06
  4. Step 4: Simplify right side
    195.87x = 35,009.59
  5. Step 5: Solve for x
    x = 35,009.59/195.87
  6. Step 6: Final answer
    x = 178.74

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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.