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Finding the Fourth Proportional to 362.67, 544.07 and 167.59

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Solution

The fourth proportional to 362.67, 544.07 and 167.59 is: 251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.67 : 544.07 = 167.59 : x
  2. Step 2: Convert to fraction form
    362.67/544.07 = 167.59/x
  3. Step 3: Cross multiply
    362.67x = 544.07 × 167.59
  4. Step 4: Simplify right side
    362.67x = 91,180.69
  5. Step 5: Solve for x
    x = 91,180.69/362.67
  6. Step 6: Final answer
    x = 251.42

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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.