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Finding the Fourth Proportional to 548.83, 823.14 and 164.08

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Solution

The fourth proportional to 548.83, 823.14 and 164.08 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.83 : 823.14 = 164.08 : x
  2. Step 2: Convert to fraction form
    548.83/823.14 = 164.08/x
  3. Step 3: Cross multiply
    548.83x = 823.14 × 164.08
  4. Step 4: Simplify right side
    548.83x = 135,060.81
  5. Step 5: Solve for x
    x = 135,060.81/548.83
  6. Step 6: Final answer
    x = 246.09

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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.