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Finding the Fourth Proportional to 547.60, 821.38 and 182.38

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Solution

The fourth proportional to 547.60, 821.38 and 182.38 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 821.38 = 182.38 : x
  2. Step 2: Convert to fraction form
    547.60/821.38 = 182.38/x
  3. Step 3: Cross multiply
    547.60x = 821.38 × 182.38
  4. Step 4: Simplify right side
    547.60x = 149,803.28
  5. Step 5: Solve for x
    x = 149,803.28/547.60
  6. Step 6: Final answer
    x = 273.56

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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.