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Finding the Fourth Proportional to 195.86, 270.06 and 133.72

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Solution

The fourth proportional to 195.86, 270.06 and 133.72 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.06 = 133.72 : x
  2. Step 2: Convert to fraction form
    195.86/270.06 = 133.72/x
  3. Step 3: Cross multiply
    195.86x = 270.06 × 133.72
  4. Step 4: Simplify right side
    195.86x = 36,111.75
  5. Step 5: Solve for x
    x = 36,111.75/195.86
  6. Step 6: Final answer
    x = 184.38

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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.