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Finding the Fourth Proportional to 185.26, 277.48 and 127.50

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Solution

The fourth proportional to 185.26, 277.48 and 127.50 is: 190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 277.48 = 127.50 : x
  2. Step 2: Convert to fraction form
    185.26/277.48 = 127.50/x
  3. Step 3: Cross multiply
    185.26x = 277.48 × 127.50
  4. Step 4: Simplify right side
    185.26x = 35,378.70
  5. Step 5: Solve for x
    x = 35,378.70/185.26
  6. Step 6: Final answer
    x = 190.97

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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.