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Finding the Fourth Proportional to 547.95, 822.07 and 182.75

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Solution

The fourth proportional to 547.95, 822.07 and 182.75 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.95 : 822.07 = 182.75 : x
  2. Step 2: Convert to fraction form
    547.95/822.07 = 182.75/x
  3. Step 3: Cross multiply
    547.95x = 822.07 × 182.75
  4. Step 4: Simplify right side
    547.95x = 150,229.41
  5. Step 5: Solve for x
    x = 150,229.41/547.95
  6. Step 6: Final answer
    x = 274.16

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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.