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Finding the Fourth Proportional to 645.32, 967.83 and 182.97

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Solution

The fourth proportional to 645.32, 967.83 and 182.97 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 967.83 = 182.97 : x
  2. Step 2: Convert to fraction form
    645.32/967.83 = 182.97/x
  3. Step 3: Cross multiply
    645.32x = 967.83 × 182.97
  4. Step 4: Simplify right side
    645.32x = 177,083.86
  5. Step 5: Solve for x
    x = 177,083.86/645.32
  6. Step 6: Final answer
    x = 274.41

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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.