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Finding the Fourth Proportional to 547.64, 821.43 and 182.40

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Solution

The fourth proportional to 547.64, 821.43 and 182.40 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 821.43 = 182.40 : x
  2. Step 2: Convert to fraction form
    547.64/821.43 = 182.40/x
  3. Step 3: Cross multiply
    547.64x = 821.43 × 182.40
  4. Step 4: Simplify right side
    547.64x = 149,824.72
  5. Step 5: Solve for x
    x = 149,824.72/547.64
  6. Step 6: Final answer
    x = 273.59

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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.