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Finding the Fourth Proportional to 362.56, 543.78 and 106

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Solution

The fourth proportional to 362.56, 543.78 and 106 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.56 : 543.78 = 106 : x
  2. Step 2: Convert to fraction form
    362.56/543.78 = 106/x
  3. Step 3: Cross multiply
    362.56x = 543.78 × 106
  4. Step 4: Simplify right side
    362.56x = 57,640.68
  5. Step 5: Solve for x
    x = 57,640.68/362.56
  6. Step 6: Final answer
    x = 158.98

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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.