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Finding the Fourth Proportional to 185.92, 279.08 and 83.28

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Solution

The fourth proportional to 185.92, 279.08 and 83.28 is: 125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 279.08 = 83.28 : x
  2. Step 2: Convert to fraction form
    185.92/279.08 = 83.28/x
  3. Step 3: Cross multiply
    185.92x = 279.08 × 83.28
  4. Step 4: Simplify right side
    185.92x = 23,239.97
  5. Step 5: Solve for x
    x = 23,239.97/185.92
  6. Step 6: Final answer
    x = 125.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.