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Finding the Fourth Proportional to 644.23, 966.35 and 182.03

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Solution

The fourth proportional to 644.23, 966.35 and 182.03 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.23 : 966.35 = 182.03 : x
  2. Step 2: Convert to fraction form
    644.23/966.35 = 182.03/x
  3. Step 3: Cross multiply
    644.23x = 966.35 × 182.03
  4. Step 4: Simplify right side
    644.23x = 175,900.31
  5. Step 5: Solve for x
    x = 175,900.31/644.23
  6. Step 6: Final answer
    x = 273.04

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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.