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Finding the Fourth Proportional to 185.73, 278.09 and 98.88

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Solution

The fourth proportional to 185.73, 278.09 and 98.88 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.73 : 278.09 = 98.88 : x
  2. Step 2: Convert to fraction form
    185.73/278.09 = 98.88/x
  3. Step 3: Cross multiply
    185.73x = 278.09 × 98.88
  4. Step 4: Simplify right side
    185.73x = 27,497.54
  5. Step 5: Solve for x
    x = 27,497.54/185.73
  6. Step 6: Final answer
    x = 148.05

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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.