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Finding the Fourth Proportional to 185.34, 277.94 and 82.62

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Solution

The fourth proportional to 185.34, 277.94 and 82.62 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 277.94 = 82.62 : x
  2. Step 2: Convert to fraction form
    185.34/277.94 = 82.62/x
  3. Step 3: Cross multiply
    185.34x = 277.94 × 82.62
  4. Step 4: Simplify right side
    185.34x = 22,963.40
  5. Step 5: Solve for x
    x = 22,963.40/185.34
  6. Step 6: Final answer
    x = 123.90

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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.