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Finding the Fourth Proportional to 547.49, 820.95 and 182.15

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Solution

The fourth proportional to 547.49, 820.95 and 182.15 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.49 : 820.95 = 182.15 : x
  2. Step 2: Convert to fraction form
    547.49/820.95 = 182.15/x
  3. Step 3: Cross multiply
    547.49x = 820.95 × 182.15
  4. Step 4: Simplify right side
    547.49x = 149,531.94
  5. Step 5: Solve for x
    x = 149,531.94/547.49
  6. Step 6: Final answer
    x = 273.13

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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.