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Finding the Fourth Proportional to 185.54, 278.37 and 98.87

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Solution

The fourth proportional to 185.54, 278.37 and 98.87 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.54 : 278.37 = 98.87 : x
  2. Step 2: Convert to fraction form
    185.54/278.37 = 98.87/x
  3. Step 3: Cross multiply
    185.54x = 278.37 × 98.87
  4. Step 4: Simplify right side
    185.54x = 27,521.05
  5. Step 5: Solve for x
    x = 27,521.05/185.54
  6. Step 6: Final answer
    x = 148.33

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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.