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Finding the Fourth Proportional to 615.92, 923.72 and 182.96

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Solution

The fourth proportional to 615.92, 923.72 and 182.96 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.92 : 923.72 = 182.96 : x
  2. Step 2: Convert to fraction form
    615.92/923.72 = 182.96/x
  3. Step 3: Cross multiply
    615.92x = 923.72 × 182.96
  4. Step 4: Simplify right side
    615.92x = 169,003.81
  5. Step 5: Solve for x
    x = 169,003.81/615.92
  6. Step 6: Final answer
    x = 274.39

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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.