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Finding the Fourth Proportional to 362.28, 543.49 and 118.82

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Solution

The fourth proportional to 362.28, 543.49 and 118.82 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 543.49 = 118.82 : x
  2. Step 2: Convert to fraction form
    362.28/543.49 = 118.82/x
  3. Step 3: Cross multiply
    362.28x = 543.49 × 118.82
  4. Step 4: Simplify right side
    362.28x = 64,577.48
  5. Step 5: Solve for x
    x = 64,577.48/362.28
  6. Step 6: Final answer
    x = 178.25

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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.