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Finding the Fourth Proportional to 362.46, 543.54 and 131.28

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Solution

The fourth proportional to 362.46, 543.54 and 131.28 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.46 : 543.54 = 131.28 : x
  2. Step 2: Convert to fraction form
    362.46/543.54 = 131.28/x
  3. Step 3: Cross multiply
    362.46x = 543.54 × 131.28
  4. Step 4: Simplify right side
    362.46x = 71,355.93
  5. Step 5: Solve for x
    x = 71,355.93/362.46
  6. Step 6: Final answer
    x = 196.87

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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.