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Finding the Fourth Proportional to 363.16, 544.68 and 119.68

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Solution

The fourth proportional to 363.16, 544.68 and 119.68 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 544.68 = 119.68 : x
  2. Step 2: Convert to fraction form
    363.16/544.68 = 119.68/x
  3. Step 3: Cross multiply
    363.16x = 544.68 × 119.68
  4. Step 4: Simplify right side
    363.16x = 65,187.30
  5. Step 5: Solve for x
    x = 65,187.30/363.16
  6. Step 6: Final answer
    x = 179.50

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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.