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Finding the Fourth Proportional to 195.84, 270.36 and 137.88

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Solution

The fourth proportional to 195.84, 270.36 and 137.88 is: 190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 270.36 = 137.88 : x
  2. Step 2: Convert to fraction form
    195.84/270.36 = 137.88/x
  3. Step 3: Cross multiply
    195.84x = 270.36 × 137.88
  4. Step 4: Simplify right side
    195.84x = 37,277.24
  5. Step 5: Solve for x
    x = 37,277.24/195.84
  6. Step 6: Final answer
    x = 190.35

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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.