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Finding the Fourth Proportional to 547.53, 820.89 and 182.22

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Solution

The fourth proportional to 547.53, 820.89 and 182.22 is: 273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.53 : 820.89 = 182.22 : x
  2. Step 2: Convert to fraction form
    547.53/820.89 = 182.22/x
  3. Step 3: Cross multiply
    547.53x = 820.89 × 182.22
  4. Step 4: Simplify right side
    547.53x = 149,582.58
  5. Step 5: Solve for x
    x = 149,582.58/547.53
  6. Step 6: Final answer
    x = 273.20

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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.