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Finding the Fourth Proportional to 184.72, 277.25 and 107.77

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Solution

The fourth proportional to 184.72, 277.25 and 107.77 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 277.25 = 107.77 : x
  2. Step 2: Convert to fraction form
    184.72/277.25 = 107.77/x
  3. Step 3: Cross multiply
    184.72x = 277.25 × 107.77
  4. Step 4: Simplify right side
    184.72x = 29,879.23
  5. Step 5: Solve for x
    x = 29,879.23/184.72
  6. Step 6: Final answer
    x = 161.75

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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.