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Finding the Fourth Proportional to 547.96, 821.86 and 182.74

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Solution

The fourth proportional to 547.96, 821.86 and 182.74 is: 274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.96 : 821.86 = 182.74 : x
  2. Step 2: Convert to fraction form
    547.96/821.86 = 182.74/x
  3. Step 3: Cross multiply
    547.96x = 821.86 × 182.74
  4. Step 4: Simplify right side
    547.96x = 150,186.70
  5. Step 5: Solve for x
    x = 150,186.70/547.96
  6. Step 6: Final answer
    x = 274.08

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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.