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Finding the Fourth Proportional to 362.75, 543.41 and 179.59

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Solution

The fourth proportional to 362.75, 543.41 and 179.59 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 543.41 = 179.59 : x
  2. Step 2: Convert to fraction form
    362.75/543.41 = 179.59/x
  3. Step 3: Cross multiply
    362.75x = 543.41 × 179.59
  4. Step 4: Simplify right side
    362.75x = 97,587.39
  5. Step 5: Solve for x
    x = 97,587.39/362.75
  6. Step 6: Final answer
    x = 269.02

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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.