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Finding the Fourth Proportional to 644.18, 966.38 and 182.02

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Solution

The fourth proportional to 644.18, 966.38 and 182.02 is: 273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.18 : 966.38 = 182.02 : x
  2. Step 2: Convert to fraction form
    644.18/966.38 = 182.02/x
  3. Step 3: Cross multiply
    644.18x = 966.38 × 182.02
  4. Step 4: Simplify right side
    644.18x = 175,902.72
  5. Step 5: Solve for x
    x = 175,902.72/644.18
  6. Step 6: Final answer
    x = 273.07

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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.