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Finding the Fourth Proportional to 547.64, 821.64 and 182.46

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Solution

The fourth proportional to 547.64, 821.64 and 182.46 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 821.64 = 182.46 : x
  2. Step 2: Convert to fraction form
    547.64/821.64 = 182.46/x
  3. Step 3: Cross multiply
    547.64x = 821.64 × 182.46
  4. Step 4: Simplify right side
    547.64x = 149,916.43
  5. Step 5: Solve for x
    x = 149,916.43/547.64
  6. Step 6: Final answer
    x = 273.75

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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.