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Finding the Fourth Proportional to 185.50, 278.12 and 75.82

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Solution

The fourth proportional to 185.50, 278.12 and 75.82 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.50 : 278.12 = 75.82 : x
  2. Step 2: Convert to fraction form
    185.50/278.12 = 75.82/x
  3. Step 3: Cross multiply
    185.50x = 278.12 × 75.82
  4. Step 4: Simplify right side
    185.50x = 21,087.06
  5. Step 5: Solve for x
    x = 21,087.06/185.50
  6. Step 6: Final answer
    x = 113.68

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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.