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Finding the Fourth Proportional to 195.72, 270 and 137.52

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Solution

The fourth proportional to 195.72, 270 and 137.52 is: 189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 270 = 137.52 : x
  2. Step 2: Convert to fraction form
    195.72/270 = 137.52/x
  3. Step 3: Cross multiply
    195.72x = 270 × 137.52
  4. Step 4: Simplify right side
    195.72x = 37,130.40
  5. Step 5: Solve for x
    x = 37,130.40/195.72
  6. Step 6: Final answer
    x = 189.71

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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.