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Finding the Fourth Proportional to 548.68, 822.84 and 201.94

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Solution

The fourth proportional to 548.68, 822.84 and 201.94 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.68 : 822.84 = 201.94 : x
  2. Step 2: Convert to fraction form
    548.68/822.84 = 201.94/x
  3. Step 3: Cross multiply
    548.68x = 822.84 × 201.94
  4. Step 4: Simplify right side
    548.68x = 166,164.31
  5. Step 5: Solve for x
    x = 166,164.31/548.68
  6. Step 6: Final answer
    x = 302.84

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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.