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Finding the Fourth Proportional to 185.25, 277.89 and 75.57

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Solution

The fourth proportional to 185.25, 277.89 and 75.57 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 277.89 = 75.57 : x
  2. Step 2: Convert to fraction form
    185.25/277.89 = 75.57/x
  3. Step 3: Cross multiply
    185.25x = 277.89 × 75.57
  4. Step 4: Simplify right side
    185.25x = 21,000.15
  5. Step 5: Solve for x
    x = 21,000.15/185.25
  6. Step 6: Final answer
    x = 113.36

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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.