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Finding the Fourth Proportional to 362.78, 543.99 and 119.24

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Solution

The fourth proportional to 362.78, 543.99 and 119.24 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 543.99 = 119.24 : x
  2. Step 2: Convert to fraction form
    362.78/543.99 = 119.24/x
  3. Step 3: Cross multiply
    362.78x = 543.99 × 119.24
  4. Step 4: Simplify right side
    362.78x = 64,865.37
  5. Step 5: Solve for x
    x = 64,865.37/362.78
  6. Step 6: Final answer
    x = 178.80

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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.