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Finding the Fourth Proportional to 548.78, 823.31 and 164.02

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Solution

The fourth proportional to 548.78, 823.31 and 164.02 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 823.31 = 164.02 : x
  2. Step 2: Convert to fraction form
    548.78/823.31 = 164.02/x
  3. Step 3: Cross multiply
    548.78x = 823.31 × 164.02
  4. Step 4: Simplify right side
    548.78x = 135,039.31
  5. Step 5: Solve for x
    x = 135,039.31/548.78
  6. Step 6: Final answer
    x = 246.07

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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.