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Finding the Fourth Proportional to 615.70, 923.23 and 182.80

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Solution

The fourth proportional to 615.70, 923.23 and 182.80 is: 274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.70 : 923.23 = 182.80 : x
  2. Step 2: Convert to fraction form
    615.70/923.23 = 182.80/x
  3. Step 3: Cross multiply
    615.70x = 923.23 × 182.80
  4. Step 4: Simplify right side
    615.70x = 168,766.44
  5. Step 5: Solve for x
    x = 168,766.44/615.70
  6. Step 6: Final answer
    x = 274.10

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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.