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Finding the Fourth Proportional to 547.27, 820.84 and 182.00

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Solution

The fourth proportional to 547.27, 820.84 and 182.00 is: 272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.27 : 820.84 = 182.00 : x
  2. Step 2: Convert to fraction form
    547.27/820.84 = 182.00/x
  3. Step 3: Cross multiply
    547.27x = 820.84 × 182.00
  4. Step 4: Simplify right side
    547.27x = 149,394.48
  5. Step 5: Solve for x
    x = 149,394.48/547.27
  6. Step 6: Final answer
    x = 272.98

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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.