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Finding the Fourth Proportional to 362.91, 543.61 and 179.75

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Solution

The fourth proportional to 362.91, 543.61 and 179.75 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.91 : 543.61 = 179.75 : x
  2. Step 2: Convert to fraction form
    362.91/543.61 = 179.75/x
  3. Step 3: Cross multiply
    362.91x = 543.61 × 179.75
  4. Step 4: Simplify right side
    362.91x = 97,715.48
  5. Step 5: Solve for x
    x = 97,715.48/362.91
  6. Step 6: Final answer
    x = 269.25

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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.