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Finding the Fourth Proportional to 184.26, 277.92 and 177.78

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Solution

The fourth proportional to 184.26, 277.92 and 177.78 is: 268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.26 : 277.92 = 177.78 : x
  2. Step 2: Convert to fraction form
    184.26/277.92 = 177.78/x
  3. Step 3: Cross multiply
    184.26x = 277.92 × 177.78
  4. Step 4: Simplify right side
    184.26x = 49,408.62
  5. Step 5: Solve for x
    x = 49,408.62/184.26
  6. Step 6: Final answer
    x = 268.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.