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Finding the Fourth Proportional to 615.56, 923.49 and 182.73

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Solution

The fourth proportional to 615.56, 923.49 and 182.73 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.56 : 923.49 = 182.73 : x
  2. Step 2: Convert to fraction form
    615.56/923.49 = 182.73/x
  3. Step 3: Cross multiply
    615.56x = 923.49 × 182.73
  4. Step 4: Simplify right side
    615.56x = 168,749.33
  5. Step 5: Solve for x
    x = 168,749.33/615.56
  6. Step 6: Final answer
    x = 274.14

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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.