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Finding the Fourth Proportional to 547.32, 821.12 and 182.12

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Solution

The fourth proportional to 547.32, 821.12 and 182.12 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 821.12 = 182.12 : x
  2. Step 2: Convert to fraction form
    547.32/821.12 = 182.12/x
  3. Step 3: Cross multiply
    547.32x = 821.12 × 182.12
  4. Step 4: Simplify right side
    547.32x = 149,543.52
  5. Step 5: Solve for x
    x = 149,543.52/547.32
  6. Step 6: Final answer
    x = 273.23

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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.