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Finding the Fourth Proportional to 184.89, 277.35 and 76.62

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Solution

The fourth proportional to 184.89, 277.35 and 76.62 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.89 : 277.35 = 76.62 : x
  2. Step 2: Convert to fraction form
    184.89/277.35 = 76.62/x
  3. Step 3: Cross multiply
    184.89x = 277.35 × 76.62
  4. Step 4: Simplify right side
    184.89x = 21,250.56
  5. Step 5: Solve for x
    x = 21,250.56/184.89
  6. Step 6: Final answer
    x = 114.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.