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Finding the Fourth Proportional to 363.14, 544.58 and 119.60

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Solution

The fourth proportional to 363.14, 544.58 and 119.60 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.14 : 544.58 = 119.60 : x
  2. Step 2: Convert to fraction form
    363.14/544.58 = 119.60/x
  3. Step 3: Cross multiply
    363.14x = 544.58 × 119.60
  4. Step 4: Simplify right side
    363.14x = 65,133.43
  5. Step 5: Solve for x
    x = 65,133.43/363.14
  6. Step 6: Final answer
    x = 179.36

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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.