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Finding the Fourth Proportional to 362.26, 543.42 and 105.76

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Solution

The fourth proportional to 362.26, 543.42 and 105.76 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 543.42 = 105.76 : x
  2. Step 2: Convert to fraction form
    362.26/543.42 = 105.76/x
  3. Step 3: Cross multiply
    362.26x = 543.42 × 105.76
  4. Step 4: Simplify right side
    362.26x = 57,472.10
  5. Step 5: Solve for x
    x = 57,472.10/362.26
  6. Step 6: Final answer
    x = 158.65

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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.