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Finding the Fourth Proportional to 195.94, 270.12 and 159.04

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Solution

The fourth proportional to 195.94, 270.12 and 159.04 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 270.12 = 159.04 : x
  2. Step 2: Convert to fraction form
    195.94/270.12 = 159.04/x
  3. Step 3: Cross multiply
    195.94x = 270.12 × 159.04
  4. Step 4: Simplify right side
    195.94x = 42,959.88
  5. Step 5: Solve for x
    x = 42,959.88/195.94
  6. Step 6: Final answer
    x = 219.25

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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.