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Finding the Fourth Proportional to 362.46, 543.74 and 179.85

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Solution

The fourth proportional to 362.46, 543.74 and 179.85 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.46 : 543.74 = 179.85 : x
  2. Step 2: Convert to fraction form
    362.46/543.74 = 179.85/x
  3. Step 3: Cross multiply
    362.46x = 543.74 × 179.85
  4. Step 4: Simplify right side
    362.46x = 97,791.64
  5. Step 5: Solve for x
    x = 97,791.64/362.46
  6. Step 6: Final answer
    x = 269.80

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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.