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Finding the Fourth Proportional to 185.83, 277.37 and 139.97

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Solution

The fourth proportional to 185.83, 277.37 and 139.97 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.83 : 277.37 = 139.97 : x
  2. Step 2: Convert to fraction form
    185.83/277.37 = 139.97/x
  3. Step 3: Cross multiply
    185.83x = 277.37 × 139.97
  4. Step 4: Simplify right side
    185.83x = 38,823.48
  5. Step 5: Solve for x
    x = 38,823.48/185.83
  6. Step 6: Final answer
    x = 208.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.