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Finding the Fourth Proportional to 644.47, 966.72 and 182.22

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Solution

The fourth proportional to 644.47, 966.72 and 182.22 is: 273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.47 : 966.72 = 182.22 : x
  2. Step 2: Convert to fraction form
    644.47/966.72 = 182.22/x
  3. Step 3: Cross multiply
    644.47x = 966.72 × 182.22
  4. Step 4: Simplify right side
    644.47x = 176,155.72
  5. Step 5: Solve for x
    x = 176,155.72/644.47
  6. Step 6: Final answer
    x = 273.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.