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Finding the Fourth Proportional to 362.76, 544.27 and 167.85

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Solution

The fourth proportional to 362.76, 544.27 and 167.85 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 544.27 = 167.85 : x
  2. Step 2: Convert to fraction form
    362.76/544.27 = 167.85/x
  3. Step 3: Cross multiply
    362.76x = 544.27 × 167.85
  4. Step 4: Simplify right side
    362.76x = 91,355.72
  5. Step 5: Solve for x
    x = 91,355.72/362.76
  6. Step 6: Final answer
    x = 251.84

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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.