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Finding the Fourth Proportional to 194.92, 269.70 and 186.92

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Solution

The fourth proportional to 194.92, 269.70 and 186.92 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 269.70 = 186.92 : x
  2. Step 2: Convert to fraction form
    194.92/269.70 = 186.92/x
  3. Step 3: Cross multiply
    194.92x = 269.70 × 186.92
  4. Step 4: Simplify right side
    194.92x = 50,412.32
  5. Step 5: Solve for x
    x = 50,412.32/194.92
  6. Step 6: Final answer
    x = 258.63

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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.